Class 9th Maths – RD Sharma Chapter 5 : Factorization of Algebraic Expressions Exercise 5.1 Solutions (Step-by-Step Guide)

RD Sharma Chapter 5 : Factorization of Algebraic Expressions Exercise 5.1 Solutions

1. Factorize the following expression : x^3 + x – 3x^2 -3 Watch Solution
2. Factorize the following expression : a(a + b)^3 – 3a^2b(a + b) Watch Solution
3. Factorize the following expression : a^2x^2 + (ax^2 + 1)x + a Watch Solution
4. Factorize the following expression : x(x^3 – y^3) + 3xy(x – y) Watch Solution
5. Factorize the following expression : x^2 + y – xy – x Watch Solution
6. Factorize the following expression : x^3 – 2x^2y + 3xy^2 – 6y^3 Watch Solution
7. Factorize the following expression : 6ab – b^2 + 12ac – 2bc Watch Solution
8. Factorize the following expression : x(x – 2)(x – 4) + 4x – 8 Watch Solution
9. Factorize the following expression : 21x^2 – 2x + 1/21 Watch Solution
10. Factorize the following expression : a^2 + 2ab + b^2 – c^2 Watch Solution
11. Factorize the following expression : a^2 + 4b^2 – 4ab – 4c^2 Watch Solution
12. Factorize the following expression : x^2 – y^2 – 4xz + 4z^2 Watch Solution
13. Factorize the following expression : x(x^3 – y^3) + 3xy(x – y) Watch Solution
14. Factorize the following expression : 2x^2 – 5/6x + 1/12 Watch Solution
15. Factorize the following expression : x^2 + 12/35x + 1/35 Watch Solution
16. Factorize the following expression : (a – b + c)^2 + (b – c + a)^2 + 2(a – b + c)(b – c + a) Watch Solution
17. Give possible expressions or the length and breadth of rectangle having 35y^2 + 13y – 12 as its area. Watch Solution
18. What are the possible expressions for the dimensions of the cuboid whose volume is 3x^2 – 12x. Watch Solution
19. Factorize the following expression : a^2 – b^2 + 2bc – c^2 Watch Solution
20. Factorize the following expression : xy^9 – yx^9 Watch Solution
21. Factorize the following expression : x^4 + x^2y^2 + y^4 Watch Solution
22. Factorize the following expression : x^2 + 6√2x + 10 Watch Solution
23. Factorize the following expression : x^2 – 2√2x – 30 Watch Solution
24. Factorize the following expression : x^2 – 3x – 6 Watch Solution
25. Factorize the following expression : x^2 + 5√x + 30 Watch Solution
26. Factorize the following expression : x^2 + 2√3x – 24 Watch Solution
27. Factorize the following expression : 5√5x^2 + 20x + 3√5 Watch Solution
28. Factorize the following expression : 2x^2 + 3√5x + 5 Watch Solution
29. Factorize the following expression : 2a^2 + 2√6ab + 3b^2 Watch Solution
30. Factorize the following expression : 7(x – 2y)^2 – 25(x – 2y) + 12 Watch Solution
31. Factorize the following expression : 2(x + y)^2 – 9(x + y) – 5 Watch Solution
32. Factorize the following expression : 4(x – y)^2 – 12(x – y)(x + y) + 9(x + y)^2 Watch Solution
33. Factorize the following expression : a^2 + b^2 + 2(ab + bc + ca) Watch Solution
34. Factorize the following expression : (x + 2)(x^2 + 25) – 10x^2 – 20x Watch Solution
35. Factorize the following expression : (x^2 + 1/x^2) – 4(x + 1/x) + 6 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