CT 20: Identities – II

1.If a = 17,b = 13, then find the value of the expression (a³ - b³ - 3a²b + 3ab²).

2. If (p - q) = 8, then what is the value of q³ - p³ + 24pq?

3.  If P + Q = - 5 and PQ = 6 , then what is the value of P³ + Q³ ?

4. If (a + b) = 16 and a³ + b³ = 1456, then what is the value of ab?

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

6. If  then what is the value x³ - y³ ? 

7. If a + b + c = 0, then what is the value of a³ + b³ + c³ - 3abc? 

8. If x + y = 3, then what is the value of x³ + 9xy + y³ ?

9. If x + y + z = 10 and x² + y² + z² = 30, then the value of x³ + y³ + z³ - 3xyz is:

10. If a² + b² = 25 and 3ab = 36, then the value of a³ - b³  is: