Factorization questions and solutions. Home > Exam Questions – Factorising.

Factorization questions and solutions Factorise 3x2y - Skip to content. Rebecca says the answer is 3(5y + 10) Victoria says the answer is 5(3y + 6) Available here are Chapter 5 - Factorisation Exercises Questions with Solutions and detail explanation for your practice before the examination. Proof by Mathematical Free PDF download of RD Sharma Solutions for Class 9 Maths Chapter 6 - Factorization of Polynomials solved by Expert Mathematics Teachers on Vedantu. Question 3 : RD Sharma Solutions for Class 9 Maths Chapter 5 – Factorization of Algebraic Expressions are given here in detail. This chapter mainly deals with problems based on factorising polynomials using algebraic identities. Selina solutions for Mathematics Concise Mathematics [English] Class 8 ICSE CISCE 13 (Factorisation) include all questions with answers and detailed explanations. Exterior of an angle. Online Test . 3x 2 + 6x 3. Further Maths; GCSE Revision; Revision Cards; Books; Factorising Quadratics Practice Questions. Download Formulae Handbook For ICSE Class 9 and 10. Solution:-Simplifying we get 15x + 5 =5(3x+1) Question 2. RD Sharma Solutions for Class 9 Maths Chapter 6 Factorization of Polynomials are provided here to enhance conceptual understanding among students. Latest Math Problems. 7 6. Find notes, a workbook, videos and mock exams to help you with factorisation. Detailed Solutions and explanations are included. Students are advised to solve sample papers and previous years’ question papers which gives an idea of the types of questions asked in the annual exam from the topic, Algebraic Expressions, Find the support that you need to master Grade 10 factorisation. Prior Knowledge. Question 1: Find the common factors of the given term: 6abc, 24ab², 12a²b; 10pq, 20qr, 30rp; 3x²y³, 10x³y² These NCERT Solutions are created by the expert team at craeers360, keeping in mind the latest syllabus and pattern of CBSE 2025-26. In this chapter, first the concepts are explained, and then answers to each and every question, including examples is given. Factorizing the Difference of TWO SQUARES. Practice , indeed makes you perfect ! Once you have covered the concepts of a lessson, make sure that you practice questions using Online Test or DPPs. In this article, we will see various solved examples and practice questions. This set of Aptitude Questions and Answers (MCQs) focuses on “Factors and Sum of Factors”. Did this page help you? Yes No. c Worksheet by Kuta Software LLC MathBitsNotebook Algebra 1 Lessons and Practice is free site for students (and teachers) studying a first year of high school algebra. Skip to content Multiple Choice Questions. Learn solutions. Jan 16, 2025. org and *. 6 2. Students should solve the questions of factorization by common factor method in 3 steps as mentioned below; Firstly, Important Questions Class 8 Maths Chapter 14 Factorisation Question 1: Find the common factors of the given term: 6abc, 24ab², 12a²b 10pq, 20qr, 30rp 3x²y³, 10x³y², 6x²y²z Answer 1: (a) On factorising 6abc, 24ab² and 12a²b, we get 6abc = 2 × 3 × a × b × c. More Questions. Practice questions with solutions to help you grasp the concept of factorisation quickly and The Corbettmaths Practice Questions on Factorisation. Browse All Tutorials. In NCERT solutions for Class 8 Maths chapter 12 Factorization, you will be dealing with questions related to algebraic expressions and natural numbers. The questions are prepared as per Class 8 Maths CBSE syllabus (2022-2023) and the latest exam pattern. r D A6lHlw srdi 8g GhLtRs 1 pr7e BsMepr 9vResdj. exercise solutions and additional practice questions. The NCERT Solutions For Class 8 Maths Factorisation Chapter 12 explains an advanced concept in factorization. Permutations and Combinations. These study materials include five exercises, and all Click here for Questions . The prime factorization of a number has one 2, two 3s, and one 11. What is the number of factors of the number 9600? a) 10 b) 48 c) 14 d) 44 View Answer. Students can get the question bank by registering on our Extramarks website. The Factorization MCQs App Download: Grade 9 Math Study App [Free] for factorization, remainder theorem and factor theorem test RS Aggarwal Solutions for Class 9 Maths Book Chapter 3 Factorisation of Polynomials are available here. ML Aggarwal Solutions for Class 9 Maths Chapter 4 Factorization are available here. In Chapter 12 Factorization, we will learn to get the factors of Algebraic Expressions just like factors of natural numbers. The factorisation is a method of factoring a number or a polynomial. The free trial period is the first 7 days of your subscription. Factorisation by Splitting the Middle Term with Questions Understanding the Factorization Process. . NCERT solutions for class 8 Maths prepared by Physics Wallah will help you to solve your NCERT text book exercise. Factors Questions . NCERT Solutions for Class 8 Maths Chapter 14 Factorisation. All the questions are provided with Questions and model answers on Factorising for the Edexcel IGCSE Maths A: Higher syllabus, written by the Maths experts at Save My Exams. Solution:-From the question it is given that, by dividing HCF questions are given here, along with solutions using different methods of finding the HCF of given numbers. These questions have been devised by the subject matter experts, as per the syllabus prescribed by the CISCE for the ICSE. Remainder Theorem: If a polynomial f(x) is divided by (x – a), then remainder =f(x). Questions Solutions; Quadratics: solving by factorising : Questions: Solutions: Quadratics: solving using completing the square : Questions: Quadratics: formula : Questions: Solutions: Quadratic formula proof : Questions . 99/year as selected above. Solution: Question 7. Chapter 6 – Factorization solutions are available for download in PDF format and provide solutions to all the questions provided in ML Aggarwal Solutions for Class 10 Maths Chapter 6. a 3 − a 2 + a. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further factorisation. Thus, in this article, we provide you with 25 Middle Term Splitting Questions with solutions. AP SCERT Books; AP State Board Notes; Question 8. worksheet_on_indices. The questions involved in RD Sharma Solutions are essential questions that can be asked in the final exam. These questions cover various short answer type questions, long answer type questions and HOTS (High Order Thinking Skills) questions. Problem 1. Solution problem 1. Factorization of quadratic polynomials of the form x 2 + bx + c involves a systematic approach to simplify complex expressions into more manageable forms. Practice Questions on Factorization. 5 3. RD Sharma Solutions for Class 9 Maths Chapter 5 – Factorization of Algebraic Expressions are given here in detail. Part a. CISCE (English Medium) ICSE Class 9. So, (x - 2) is a factor. Solution. ML Aggarwal Factorisation MCQs Class 9 ICSE Maths Solutions. If you find the Mr Barton Maths website helpful to teach or A collection of questions on CBSE- Factorization with solutions created by best teachers are available as a PDF download. Calculus. Use remainder theorem and find the remainder when the polynomial There is a two-digit number whose digits are the same, and has got the following property: When squared, it produces a four-digit number, whose first two digits are the same and equal to the original’s minus one, and whose last two digits are the same and equal to the half of the original’s. 2 Class 8 Maths Factorisation Exercise 14. Factoring Polynomials: Difficult Problems with Solutions. 12. Question 2 : Solve the following quadratic equations by factorization method : 10x 2 - x - (1/5) = 0. Students can also expect a few questions from chapter 13 of Factorisation in the annual examination. Identify constant, linear, quadratic and cubic polynomials from the following polynomials: Solution: Solution of MCQs on Factorisation. decimal_operations. 15 8. UpdateGet solutions of all NCERT Exercise Questions and Examples of Chapter 12Class 8 Factorisationfree at Teachoo (टीचू). Get 3 Months SuperCoaching @ just ₹1999 ₹299. x, y, and z are the exponents of factors A, B, and C, respectively. If you're seeing this message, it means we're having trouble loading external resources on our website. Based on the discriminant value, there are three possible conditions, which defines the nature of roots as follows:. Factorisation of 12a²b + 15ab²is (a) 3a(4ab + 5b²) The Factorization Multiple Choice Questions (MCQs) with Answers PDF (Factorization MCQs PDF e-Book) download Ch. Difference of the squares $(1) Factorization by the Difference of Two Cubes. Circular Motion. Welcome; Videos and Worksheets; Primary; 5-a-day. Question 6 : Shown is a right angled triangle. Solution: Factorization of a number = 2 × 2 × 3 Question 16. All Chapter 6 - Factorization of Polynomials Exercise Questions with Solutions to help you to revise complete Syllabus and Score More marks. It is 3 × x × y. 3xy is factorised. Greatest Common Factor 1. kastatic. NCERT Solutions . pdf: File Size: 36 kb: File Type: pdf: Download File. Menu. Numbers can also be factorised. Sample Papers . 24 II. What is Factorization? In mathematics, factoring is breaking a number down into smaller numbers that Here is a set of practice problems to accompany the Factoring Polynomials section of the Preliminaries chapter of the notes for Paul Dawkins Algebra course at Lamar University. Solution:-Simplifying we get a 3 − a 2 + a = a (a 2 – a + 1) Question 3. Solution: Let the other factor be m. We ge the zero remainder by applying the value of x as 2. In algebra, factorisation is the reverse of expanding brackets Question 2. 2. Go through the below provided factorisation questions and answer and practice the questions as well. Break down the expression into basic terms: 2 x 2 2x^2 2 x 2. To get the complete knowledge of the factorization process, learn and practice our Factorization Worksheets more and more. Answer. Question 1. 1 Class 8 Maths Factorisation Exercise 14. d e OM4adteU Bw1i 6t Nhr sIPn bfhi 1n miUtye1 iA VlCgqe sb tr8a Chapter 7 – Factorization contains nine exercises, and the RD Sharma Solutions available on this page provide solutions for the questions present in each exercise. Factorise the following [] Basic Factorising What is factorisation? A factorised expression is one written as the product (multiplication) of two, or more, terms (factors). Home. Find the number by using the factorization formula. (i) 12x, 36 (ii) 2y, 22xy (iii) 14pq, 28p 2 q 2 (iv) 2x, 3x 2, 4 (v) 6abc, 24ab 2, 12a 2 b Introduction of Practice Questions with Solutions: Factorization in English is available as part of our Mathematics (Maths) Class 8 for Class 8 & Practice Questions with Solutions: Factorization in Hindi for Mathematics (Maths) Class Question 1: Explain why 8x + 3y cannot be factorised. Solution: Area of a rectangle = 35y 2 + 13y – 12 = 35y 2 + 28y- 15y- 12 (i) If length = 5y + 4, then breadth = 7y – 3 The NCERT Solutions are aimed at helping students master the concepts and acquire comprehensive knowledge about the various types of questions asked in CBSE Class 8 Mathematics Examinations. Step 1: As 140 is even: test for 8: fails. Practice questions based on the factorisation for students of Class 7 to Class 10 at Testbook. 2 4. For our example above with 12 the complete factorization is, 12 = (2) (2) (3) 12 = (2) (2) (3) Here are a couple of examples. Given below are a few questions and their solutions from factorization class 8 important questions. Here is a worksheet of problems with examples on finding the limits by factorization for your practice Download free pdf of Factorisation Worksheets for Class 8 with answers. Multiples Questions . Chapter 5 – Factorization. Thorough understanding and study of the Class 9 ML Aggarwal Solutions will help students to prepare comprehensively for their upcoming Class examinations, and in turn, ace the exams. Factorisation Class 8 Extra Questions w ith Solutions. Question Papers 10. What is the number Find three prime numbers, all less than 30, whose product is 1955. Eliminating the common factor from rational functions by factoring its polynomials avoids the indeterminate form while finding the limits. Once you acquire the concepts, you can easily solve the problems associated with factorization. These exercise questions can provide students with a topic-wise preparation strategy. Question. Class 8 Maths Chapter 14 Extra Questions Factorization Factorization Extra Questions Class 8 Question 1. Formulae. 2 Ex 14. 12 = 2 x 2 x 3. Solving these, we get: x = -2 or x = -3. Test for 4: quotient result number 35 which is $7\times{5}$. Therefore, m 4 – 256 Written Solutions Video Solutions CSEC Topics Ask a question CSEC Ask a question CSEC Mathematics worksheets. NCERT Exemplar Solutions Class 8 Maths. T g NMaPd4e a 5wYiSteh k xIfn jfBiJn 2irt oe3 0A rlDgQeob MrIaV R2z. 2 has five short answer type questions in which each question has some set of expressions to solve. Step-by-Step Solution. Exercise #1. Proudly powered by Follow our Worksheet on Factorization and get a grip on the entire concept. Your Total Savings ₹1700 . Crack RPF Constable and RPF SI 2024 exams with Testbook Live Classes. Toggle navigation Prime factorisation questions given here with solutions will help students understand the concept of prime factorisation and how to use the concept to solve various types of problems. 11x² − SparkNotes Plus subscription is $4. Click here for Answers . Thus, you should solve all the questions to gain high marks in your maths paper. 1 Class 8 Maths Question 1. 1. Factor Polynomials by Common Factor Questions With Solutions. Students can easily get all the Class 8 Maths Worksheets and Exercises in Free Printable ( PDF Format) as per the latest syllabus and examination Exercise 12. Show that. Class 9 Maths Notes. We cover taking out a highest common factor, dots (difference of two squares), trinomials, grouping and perfect cubes. These Middle Term Splitting questions are unique and prepared by our team. 3 Division of Algebraic Expressions. These comprehensive solutions enable students to solve Class 8 Factorisation exercises efficiently and enhance their exam preparation. Find the other factor. Centre of Mass. Solution: Using the prime factorization method: Prime factorization of 100: 2^2 \times 5^2; Prime factorization of Question 7: Find the greatest common divisor (GCD) or highest common factor (HCF) of 128 and 96. Written Solutions Video Solutions CSEC Topics Ask a question Factorization Ask a question Factorization of Algebraic Expressions. MadAsMaths :: Mathematics Resources Critical thinking questions: 19) For what values of b is the expression factorable? x2 + bx + 12 20) Name four values of b which make the expression factorable: x2 − 3x + b-2-©n m2R0i1 P2g WKwu otja 0 eSyodf 4tBw Aahrmel tLNLzC6. Polar Coordinates and Curves. Download free CBSE Sample paper for Class 8, Math. Useful? Share with your friends. Answer: b Explanation: The number 3600 can be factorized into, 9600 = 2 7 * 3 * 5 2. The entire NCERT textbook questions have been solved by best teachers for you. Home > Exam Questions – Factorising. kasandbox. Factorisation, quadratic. What are factors? Factors are numbers that when multiplied together gives another number. What was the expression that he factorised? Question 3: Alexandra is trying to factorise fully 15y + 30. Chapter 1 Rational Numbers; Chapter 2 Data Handling; Chapter 3 Square-Square Root and Cube-Cube Root; Chapter 4 Linear Equations in One Variable; Practice Questions on Factorization Factorization was first considered for integers by an ancient Greek mathematician. Question of Class 8 : That is the reason for factoring things in this way. Helps in Improving Understanding of Factorization of Polynomials: Sometimes only theory isn’t an appropriate way to improve conceptual understanding; for this, students are required to solve a variety of concept based questions and that is why referring to the Factorization of Polynomials Class 9 RD Sharma Solutions, students get the benefit of better understanding in the What is prime factorization of numbers in maths? Grade 7 maths questions are presented along with detailed solutions. Here is a set of practice problems to accompany the Quadratic Equations - Part I section of the Solving Equations and Inequalities chapter of the notes for Paul Dawkins Algebra course at Lamar University. Log in; View answer Watch Solution. He proved the Main Theorem of Arithmetic that every positive integer can be factored into a product of prime numbers, and integers greater than 1 cannot be further factored. This will clear students' doubts about questions and improve their application skills while preparing for board exams. y T lA ulClK Ir Niig shTt2sL BrLeesTeIr 0vxe dK. Algebra. Read more articles. 3 Factorisation Class 8 Extra Questions NCERT Solutions for Class 8 Maths Chapter 14 Factorisation Exercise 14. Textbook Solutions 19273. Practice. Jan 13, 2025. If one of the factors of (5x 2 + 70x – 160) is (x – 2). The factors are (x - 2) (3x 2 - 10x + 3) By factoring the quadratic equation, we get = 3x 2 - 1x - 9x + 3 = x (3x - 1) - 3(3x - 1) If you're seeing this message, it means we're having trouble loading external resources on our website. Binary Operations. The level of difficulty of the questions will increase gradually. Probability. The questions in the exercise are designed in a manner easy to solve. All these questions cover the important applications of HCF in an easily understandable way. We are providing the worksheets with a number of factorization questions and have solutions explained in detail. The chapter-wise multiple-choice questions are provided at BYJU’S to make all students learn each concept and help them to score better marks in exams. % & 2. Now, let us have a look at the concepts discussed in this chapter. Using RD Sharma Mathematics [English] Class 8 solutions Factorization exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. Do not forget to solve the Sample Papers & Previous years papers before your exams . PRACTICE QUESTIONS ON FACTORIZATION. Hint: you don’t have to compute the RREF of B j v from scratch: you can just use R j M-1v . What is a surd? Jan 10, 2025. Show all subjects. Factorization - Common Factor. Find Expressions Equivalent to 8x²+4x: Polynomial Practice; The LibreTexts libraries are Powered by NICE CXone Expert and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Factorisation Class 8 Extra Questions; NCERT Solutions for Class 8 Maths Chapter 14 Factorisation Exercise 14. Filed Under: CBSE. (x – 2) × m = 5x 2 + 70x – 160. It is a factorization method based on the law of distributivity which is a(b + c) = a · b + a · c Solution : Let us solve the given cubic equation using synthetic division. Register for online coaching for JEE (Mains & Advanced), Click here for Questions . Author: talithab Keywords: grade 10 mathematics algebra worksheet on multiplying and factorising expressions for the South African CAPS curriculum Video Solutions CSEC Topics Ask a question Factorization of Algebraic Expressions. Greatest Common Monomial Factor 1. So, we will use the Important questions for Class 8 Maths Chapter 14 factorization provided here with solutions. Consider the problem of factoring by grouping: 486+108x+6x^2. Find the comprehensive guide on factorisation problems with solutions. This chapter comes under Algebra. Extra Questions for Class 8 Maths NCERT Solutions for Class 8 Maths. org are unblocked. Give possible expression for the length and breadth of the rectangle having 35y 2 + 13y – 12 as its area. Factorization Questions. 2 Class 8 Maths Question 1. Factorise m 4 – 256 Solution: We note m 4 = (m 2) 2 and 256 = (16) 2 Thus, the given expression fits Identity III. Solution: Question 15. RD Sharma Solutions for Class 9 Maths Chapter 6 – Free PDF Download. Interior of an angle. TO CANCEL YOUR SUBSCRIPTION AND AVOID BEING CHARGED, YOU MUST CANCEL BEFORE THE END OF THE FREE TRIAL PERIOD. 1. Factoring Practice Key I. Here, we bring to you detailed answers and solutions to the exercises of Selina Solutions for Class 9 Maths Chapter 5- Factorisation. In this chapter, students will learn various terms such as polynomial, the degree of a polynomial, factors, multiples and zeros of a polynomial. This lesson has a ton of questions that are very important from the examination point of view. io for better practice. Examples: 1) 2 and 5 are factors of 10 because 2 × 5 = 10. Prime Factorisation Questions and Their Solutions. Factorization By Grouping. 9 7. Solution: Let's solve this questions using all the three methods we learned about above: Prime factors of 128: 2×2×2 Apart from the exemplar solutions, students are also provided with exemplar books, NCERT Solutions for Class 8 Maths and question papers to help them practise well for final exams. Proudly powered by Ask a question Factorization of Algebraic Expressions. NCERT Solutions for Class 10 Maths: HCF and LCM Questions. Where b 2-4ac is called the discriminant of the equation. His answer is 2(7y − 3). Hence, the three prime numbers whose product Class 10 Mathematics Chapter 7 Factorization Important questions and answers for students who are preparing for the ICSE board exams to score well. 3(x + 2) is factorisedIt is 3 × (x + 2)3x + 6 is not factorised. Class 8 Maths Chapter 14 Factorisation MCQs (Questions and Answers) are available online for students. Factorise the number Get a comprehensive understanding of factorisation with our detailed guide. Selina Solutions are considered to be very useful when you are preparing for the ICSE Class 9 Maths exams. Purchase Now . This method, often referred to as “splitting the middle term,” allows us to break down quadratic equations RD Sharma class 9 maths Solutions Factorization of Polynomials RD Sharma Class 9 Solutions Chapter 6 Factorisation of Polynomials Ex 5. Factorization by Common Factor. Factor Theorem: If f(x) is a polynomial and a is a real number, then (x – a) is a factor of f(x) if f(α) = 0. If you're behind a web filter, please make sure that the domains *. This will clear students' doubts about questions and improve their application skills ICSE solutions for Mathematics Mathematics [English] Class 10 CISCE 9 (Factorization) include all questions with answers and detailed explanations. Factor 2x 2 + 7x + 5= ©h G2B05162 P 7KguYt4a L 9SVo3fHt0wGatr TeG XLELeC W. 1 Express 140 as a product of its prime factors. Numerical solutions to equations. Factors Questions. Previous: Trial and Question 1 : Solve the following quadratic equations by factorization method : √ 2x 2 + 7x + 5 √ 2 = 0. NCERT Solutions for Class 8 Maths Chapter 14 Factorisation Ex 14. Find the common factors of the given terms. Question 2: James has factorised an expression correctly. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; More. English. Solution: Prime factorization of 96 = 2 × 2 × 2 × 2 × 2 × 3 = 2 5 × 3. No subjects found. Solution: The prime factorization of 1955: 1955 = 5 × 17 × 23 All the factors are prime numbers and are less than 30. Factorization Questions . 125 Match the expressions of column I with that of column II Solution. Determine the Following. 15x + 5. Download Class 9 Maths, Chapter 5 Notes, Factorization that contains Solutions of All Exercises, Review Exercises, MCQ's in PDF for free. 9-1 to study Grade 9 Math Course. RD Sharma Solutions for Class 9 Maths Chapter 5 – Free PDF Download. Explain how to correct the following attempt at a solution, then obtain the complete solution: 486+108x+6x^2 = 6x^2 + 108x + 486 = 6x^2 View Answer. Start studying; Study tools. Concept Notes & Solution. pdf: File Size: 53 kb: File Type: pdf: Download File. pdf: File Size: Free PDF Download - Best collection of CBSE topper Notes, Important Questions, Sample papers and NCERT Solutions for CBSE Class 8 Math Factorization. two distinct real roots, if b 2 – 4ac > 0; two equal real Access the answers to hundreds of Factorization questions that are explained in a way that's easy for you to understand. Factorizing Examples with solutions for Factorization: Common factor extraction. The augmented RREF [B j v] is therefore [R j M-1v], or 2 4 1 0 3 2 j 0 0 1 1 0 j 1 0 0 0 0 j -1 3 5. These study materials include five exercises, and all the questions are solved by BYJU’S subject experts. Practice Questions. Class 8 NCERT exercise-wise questions and answers will help students frame a perfect solution in the Maths exam. This factored form allows us to find the roots of the equation by setting each factor to zero: x + 2 = 0 or x + 3 = 0. factorization_worksheet. 20 Middle Term Splitting Questions Ques 1) Factorise 4x 2 – 12x + 9 View Solution List of the questions with solutions to learn how to factorise the expressions by splitting the middle term. How to factor a polynomial using a common factor? Questions are presented along with detailed solutions and explanations are included. Ex 14. We at Study Path solved each questions step by step with detailed explanations. These objective questions are designed by subject experts, according to CBSE syllabus (2022-2023) and NCERT guidelines. ML Aggarwal Solutions for Class 8 Maths Chapter 11 Factorisation are provided here to help students comprehend the concepts easily and secure high marks in the exams. Try solving extra questions provided here at Oswal. Exam Questions – Factorising. 99/month or $24. The vector M-1v equals 1=4 h 1 -1 1 1 1 - 1-1 1 1 ih 2 0 2 i or h 0 1 i. Learn Factorization Quiz Questions and Answers to learn online classes courses. Q8: If the factorization of a number is 22 × 32 × 5. Algebra and Functions. 8 5. com. Search. Factories the following monomials (1) 25n 2 (2) 18xy (3) 12y (4) 21y 2 (5) 81a Solution. Solution (x + 2)(x + 3) = 0. 1 mark. Part A. [7 points] Find all solutions to Bx = v when v = h 2 0-2 i. Factorisation questions and solutions for students of Class 7, Class 8, Class 9 and Class 10 are given to make them practise algebra and polynomial concepts. mpvyvz eubkd chjxtyce uerub osxhmrx gljwjy plg wbxcf ganbafe baef oyjwsy uzj ycrpbh jfni lnu