Class 9th Maths – RD Sharma Chapter 5 : Factorization of Algebraic Expressions Multiple Choice Questions (MCQs) Solutions (Step-by-Step Guide)

Class 9th Maths – RD Sharma Chapter 5 : Factorization of Algebraic Expressions Multiple Choice Questions (MCQs) Solutions

1. The factors of x^3 – x^2y – xy^2 + y^3 are Watch Solution
2. The factors of x^3 – 1 – y^3 + 3xy are Watch Solution
3. The factors of 8a^3 + b^3 – 6ab + 1 are Watch Solution
4. (x + y)^3 – (x – y)^3 can be factorized as Watch Solution
5. The expression (a – b)^3 + (b – c)^3 + (c – a)^3 can be factorized as Watch Solution
6. The value of {(2.3)^3 – 0.027}/{(2.3)^2 + 0.69 + 0.09}, is Watch Solution
7. The value of {(0.013)^3 + (0.007)^3}/{(0.013)^2 – 0.013×0.007 + (0.007)^2} is Watch Solution
8. The factors of a^2 – 1 – 2x – x^2 are Watch Solution
9. The factors of x^4 + x^2 + 25, are Watch Solution
10. The factors of x^2 + 4y^2 + 4y – 4xy – 2x – 8, are Watch Solution
11. The factors of x^3 – 7x + 6, are Watch Solution
12. The expression x^4 + 4 can be factorized as Watch Solution
13. If 3x = a + b + c, then the value of (x – a)^3 + (x – b)^3 + (x – c)^3 – 3(x – a)(x – b)(x – c) is Watch Solution
14. If (x + y)^3 – (x – y)^3 – 6y(x^2 – y^2) = ky^3, then k = Watch Solution
15. If x^3 – 3x^2 + 3x – 7 = (x + 1)(ax^2 + bx + c), then a + b + c = Watch Solution
16. If x/y + y/x = -1 (x, y ≠ 0), then the value of x^3 – y^3 is Watch Solution
17. Which of the following is a factor of (x + y)^3 – (x^3 + y^3) ? Watch Solution
18. Each of the following questions contains STATEMENT-1 (Assertion) and STATEMENT-2 (Reason) and has following four choices (a), (b), (c) and (d), only one of which is the correct answer. Mark the correct choice. (a) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. (b) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. (c) Statement-1 is true, Statement-2 is false. (d) Statement-1 is false, Statement-2 is true. Statement-1 (Assertion): (a – b)^3 + (b – c)^3 + (c – a)^3 = 3(a – b)(b – c) (c – a) Statement-2 (Reason): If a + b + c = 0, then a^3 + b^3 + c^3 = 3abc Watch Solution
19. Statement-1 (Assertion): If 3x = a + b + c, then Statement-2 (Reason): (x – a)^3 + (x – b)^3 + (x – c)^3 = 3(x – a)(x – b)(x – c) If a + b + c = 0, then a^3 + b^3 + c^3 = 3abc Watch Solution
20. Statement-1 (Assertion): If a + b + c = 5 and ab + bc + ca = 10, then a^3 + b^3 + c^3 – 3abc Statement-2 (Reason): a^3 + b^3 + c^3 – 3abc = (a + b + c) {(a + b + c)^2 – 3(ab + bc + ca)} Watch Solution
21. Statement-1 (Assertion): If a, b, c are all non-zero such that a + b + c = 0, then a^2/bc + b^2/ca + c^2/ab = 3 Statement-2 (Reason): If a + b + c = 9 and a^2 + b^2 + c^2 = 35, then ab + bc + ca = 23 Watch Solution
22. Statement-1 (Assertion): The value of {(0.027)^3 + (0.023)^3}/ {(0.027)^2 – (0.027)×(0.023) + (0.023)^2} is 0.05 Statement-2 (Reason): a^3 – b^3 = (a – b) (a^2 – ab + b^2) Watch Solution

 

Factorization of Algebraic Expressions – R.D. Sharma Class 9th Maths

1. Factorization of Algebraic Expressions Exercise 5.1 Video Solutions
2. Factorization of Algebraic Expressions Exercise 5.2 Video Solutions
3. Factorization of Algebraic Expressions Exercise 5.3 Video Solutions
4. Factorization of Algebraic Expressions Exercise 5.4 Video Solutions
5. Factorization of Algebraic Expressions Very Short Answer Questions (VSAQs) Video Solutions
6. Factorization of Algebraic Expressions Fill in the Blanks (FBQs) Video Solutions
7. Factorization of Algebraic Expressions Multiple Choice Questions (MCQs) Video Solutions