Class 9th Maths – RD Sharma Chapter 4 : Algebraic Identities Exercise 4.1 Solutions (Step-by-Step Guide)

RD Sharma Chapter 4 : Algebraic Identities Exercise 4.1 Solutions

1. Evaluate : (2x – 1/x)^2 Watch Solution
2. Evaluate : (2x + y) (2x – y) Watch Solution
3. Evaluate : (a^2b – b^2a)^2 Watch Solution
4. Evaluate : (a – 0.1)(a + 0.1) Watch Solution
5. Evaluate : (1.5x^2 – 0.3y^2)1.5x^2 + 0.3y^2) Watch Solution
6. Evaluate the following using identity : (399)^2 Watch Solution
7. Evaluate the following using identity : (0.98)^2 Watch Solution
8. Evaluate the following using identity : 991 × 1009 Watch Solution
9. Evaluate the following using identity : 117 × 83 Watch Solution
10. Simplify the following : 175×175 + 2×175×25 + 25×25 Watch Solution
11. Simplify the following : 322×322 – 2×322×22 + 22×22 Watch Solution
12. Simplify the following : 0.76×0.76 + 2×0.76×0.24 + 0.24×0.24 Watch Solution
13. Simplify the following : (7.83×7.83 – 1.17×1.17)/6.66 Watch Solution
14. If x + 1/x = 11, find the value of x^2 + 1/x^2 Watch Solution
15. If x – 1/x = -1, find the value of x^2 + 1/x^2 Watch Solution
16. If x + 1/x = √5, find the values of x^2 + 1/x^2 and x^4 + 1/x^4 Watch Solution
17. If 9x^2 + 25y^2 = 181 and xy = -6, find the value of 3x + 5y. Watch Solution
18. If 2x + 3y = 8 and xy = 2, find the value of 4x^2 + 9y^2 Watch Solution
19. If 3x – 7y = 10 and xy = -1, find the value of 9x^2 + 49y^2 Watch Solution
20. Simplify the following products: (1/2 a – 3b)(3b + 1/2 a)(1/4 a^2 + 9b^2) Watch Solution
21. Simplify the following products: (m + n/7)^3 (m – n/7) Watch Solution
22. If x^2 + 1/x^2 = 66, find the value of x – 1/x Watch Solution
23. If x^2 + 1/x^2 = 79, find the value of x + 1/x Watch Solution
24. Simplify the following product : (x/2 – 2/5)(2/5 – x/2) – x^2 + 2x Watch Solution
25. Simplify the following product : (x^2 + x – 2)(x^2 – x + 2) Watch Solution
26. Simplify the following product : (x^3 – 3x^2 – x)(x^2 – 3x + 1) Watch Solution
27. Simplify the following product : (2x^4 – 4x^2 + 1)(2x^4 – 4x^2 – 1) Watch Solution
28. Prove that a^2 + b^2 + c^2 – ab – bc – ca is always non-negative for all values of a, b and c. Watch Solution

 

 

4. Algebraic Identities – R.D. Sharma Class 9th Maths

1. Algebraic Identities Exercise 4.1 Video Solutions
2. Algebraic Identities Exercise 4.2 Video Solutions
3. Algebraic Identities Exercise 4.3 Video Solutions
4. Algebraic Identities Exercise 4.4 Video Solutions
5. Algebraic Identities Exercise 4.5 Video Solutions
6. Algebraic Identities Very Short Answer Questions (VSAQs) Video Solutions
7. Algebraic Identities Fill in the Blanks (FBQs) Video Solutions
8. Algebraic Identities Multiple Choice Questions (MCQs) Video Solutions