21. If x = z = 225 and y = 226, then the value of x3 + y3 + z3 - 3xyz = ?
22. If $${x^2} + x = 5{\text{,}}$$ then the value of $${\left( {x + 3} \right)^3} + \frac{1}{{{{\left( {x + 3} \right)}^3}}} = ?$$
23. If m = -4, n = -2,then the value of m3 - 3m2 + 3m + 3n + 3n2 + n3 is?
24. If x = 332, y = 333, z = 335, then the value of x3 + y3 + z3 - 3xyz is?
25. If $$2 + x\sqrt 3 $$ = $$\frac{1}{{2 + \sqrt 3 }}{\text{,}}$$ then the simplest value of x is?
26. $$\frac{{m - {a^2}}}{{{b^2} + {c^2}}}$$ + $$\frac{{m - {b^2}}}{{{c^2} + {a^2}}}$$ + $$\frac{{m - {c^2}}}{{{a^2} + {b^2}}}$$ = 3, then the value of m is?
27. If m - 5n = 2, then the value of (m3 - 125n3 - 30mn) is?
28. If $$x + \frac{1}{x} = 2{\text{,}}$$ then the value of $${x^{12}} - \frac{1}{{{x^{12}}}}$$ is?
29. If $$x + \frac{1}{x} = 1{\text{,}}$$ then the value of $$\frac{{{x^2} + 3x + 1}}{{{x^2} + 7x + 1}}$$ is?
30. If $$x + \left( {\frac{1}{x}} \right) = 2{\text{,}}$$ then the value of $${x^7}{\text{ + }}\left( {\frac{1}{{{x^5}}}} \right)$$ is?
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