Class 9th Maths – RD Sharma Chapter 4 : Algebraic Identities Exercise 4.3 Solutions (Step-by-Step Guide)

RD Sharma Chapter 4 : Algebraic Identities Exercise 4.3 Solutions

1. Find the cube of the following binomial expression : 1/x + y/3 Watch Solution
2. Find the cube of the following binomial expression : 3/x – 2/x^2 Watch Solution
3. Find the cube of the following binomial expression : 2x + 3/x Watch Solution
4. Find the cube of the following binomial expression : 4 – 1/3x Watch Solution
5. If a + b = 10 and ab = 21, find the value of a^3 + b^3. Watch Solution
6. If a – b = 4 and ab = 21, find the value of a^3 – b^3. Watch Solution
7. If x + 1/x = 5, find the value of x^3 + 1/x^3. Watch Solution
8. If x – 1/x = 7, find the value of x^3 – 1/x^3. Watch Solution
9. If x – 1/x = 5, find the value of x^3 – 1/x^3. Watch Solution
10. If x^2 + 1/x^2 = 51, find the value of x^3 – 1/x^3. Watch Solution
11. If x^2 + 1/x^2 = 98, find the value of x^3 + 1/x^3. Watch Solution
12. If x – 1/x = 3 + 2√2, find the value of x^3 – 1/x^3. Watch Solution
13. If 3x – 2y = 11 and xy = 12, find the value of 27x^3 – 8y^3. Watch Solution
14. Evaluate the following : (103)^3 Watch Solution
15. Evaluate the following : (98)^3 Watch Solution
16. Evaluate the following : (9.9)^3 Watch Solution
17. Evaluate the following : (10.4)^3 Watch Solution
18. Evaluate the following : (598)^3 Watch Solution
19. Evaluate the following : (99)^3 Watch Solution
20. Evaluate the following : 111^3 – 89^3 Watch Solution
21. Evaluate the following : 46^3 + 34^3 Watch Solution
22. Evaluate the following : 104^3 + 96^3 Watch Solution
23. Evaluate the following : 93^3 – 107^3 Watch Solution
24. If x + 1/x = 3, calculate x^2 + 1/x^2, x^3 + 1/x^3 and x^4 + 1/x^4. Watch Solution
25. Find the value of 27x^3 + 8y^3, if 3x + 2y = 14 and xy = 8 Watch Solution
26. Find the value of 27x^3 + 8y^3, if 3x + 2y = 20 and xy = 14/9 Watch Solution
27. Find the value of 64x^3 – 125z^3, if 4x – 5z = 16 and xz = 12. Watch Solution
28. Simplify the following : (x + 3)^3 + (x – 3)^3 Watch Solution
29. Simplify the following : (x/2 + y/3)^3 – (x/2 – y/3)^3 Watch Solution
30. Simplify the following : (x + 2/x)^3 + (x – 2/x)^3 Watch Solution
31. Simplify the following : (2x – 5y)^3 – (2x + 5y)^3 Watch Solution
32. If x^4 + 1/x^4 = 194, find x^3 + 1/x^3 , x^2 + 1/x^2 and x + 1/x Watch Solution
33. If x^4 + 1/x^4 = 119, find the value of x^3 – 1/x^3 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