CT 26: Identities – II

1.If x/y−y/x = 3, then find the value of x³/y³+y³/x³:

2. If 

3. If .

4. If 2x + 3y + 4z = 11, 8x³ + 27y³ + 64z³ = 105 and xyz = 1, then the value 4x² + 9y² + 16z² - 6xy - 12yz - 8xz is:

5. The value of 

6. If , then what is x-y equal to ?

7. If, 3a = , then find the value of a³ + b³.

8. If 64(a + b)³ - 27(a - b)³ = (a + 7b)[pa² + qb² + √r(ab)], then what is the value of (r - 4p - 3q)?

9. If , then the value of (3A+B−√15C) is:

10.  is equal to