11. If (x - 4)(x2 + 4x + 16) = x3 - p, then p is equal to?
12. If $$4x + \frac{1}{x} = 5,$$ $$x \ne 0{\text{,}}$$ then the value of $$\frac{{5x}}{{4{x^2} + 10x + 1}}$$ is?
13. If $$c + \frac{1}{c} = \sqrt 3 {\text{,}}$$ then the value of $${c^3} + \frac{1}{{{c^3}}}$$ is equal to?
14. If x = 222, y = 223, z = 225, then the value of x3 + y3 + z3 - 3xyz is?
15. If a + b + c = 0, then the value of a3 + b3 + c3 is?
16. If $$\frac{1}{p} + \frac{1}{q}$$ = $$\frac{1}{{p + q}}{\text{,}}$$ then the value of p3 - q3 is?
17. If ab = 21 and $$\frac{{{{\left( {a + b} \right)}^2}}}{{{{\left( {a - b} \right)}^2}}}$$ = $$\frac{{25}}{4}{\text{,}}$$ then the value of a2 + b2 + 3ab is?
18. Given a - b = 2, a3 - b3 = 26, then (a + b)2 is?
19. If x + y + z = 9, then the value of (x - 4)3 + (y - 2)3 + (z - 3)3 - 3(x - 4)(y - 2)(z - 3) is?
20. If $$x + \frac{1}{{9x}} = 4{\text{,}}$$ then $${\text{9}}{x^2} + \frac{1}{{9{x^2}}}$$ is?
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