CT 23: Identities – V

1.If a + 5b = 13 and ab = 9, find the value of a² + 25b².

2. If 4x² + y² = 40 and xy = 6, then the value of 2x - y is:

3. If (a + b + c) = 12, and (a² + b² + c²) = 50, find the value of (a³ + b³ + c³ - 3abc)

4. If p + q + r = pqr = 1/p+1/q+1/r=1, then find p³ + q³ + r³.

5. What is the value of (a+b)3- a3+ b3  ?

6. If x + 1/x = 9, then find x⁴ + 1/x4.

7. If x−1/x=−6, what will be the value of x5−1/x5?

8. If, , then (2a + 3b) is equal to:

9. If a³ + 3a² + 9a = 81, then what is the value of a³ + 3/a ?

10. If a² +  b² + c² + 3 = 2 (a + b + c), then the value of (a + b + c) is