21. If 2x2 + y2 + 6x - 2xy + 9 = 0, then the value of (4x3 - y3 + x2y2) is:
22. If $$\frac{{22\sqrt 2 }}{{4\sqrt 2 - \sqrt {3 + \sqrt 5 } }} = a + \sqrt 5 b$$ with a, b > 0, then what is the value of (ab) : (a + b)?
23. If 2x - y = 2 and xy = $$\frac{3}{2},$$ then what is the value of $${x^3} - \frac{{{y^3}}}{8}?$$
24. If $$\frac{{4\left( {\frac{{2x}}{5} - \frac{3}{2}} \right)}}{3} + \frac{7}{5} = \frac{{37}}{5}$$ then what is the value of x?
25. If x = 3 + 2√2, then the value of $${x^2} + \frac{1}{{{x^2}}}$$ is:
26. If p(x + y)2 = 5 and q(x - y)2 = 3 then the simplified value of p2(x + y)2 + 4pqxy - q2(x - y)2 is:
27. If x3 - 6x2 + ax + b is divisible by (x2 - 3x + 2), then the values of a and b are:
28. If x8 - 1442x4 + 1 = 0, then a possible value of $$x - \frac{1}{x}$$ is:
29. What is the value of 10062 - 1007 × 1005 + 1008 × 1004 - 1009 × 1003?
30. The value of $$\frac{{0.0203 \times 2.92}}{{0.7 \times 0.0365 \times 2.9}} \div \frac{{{{\left( {12.12} \right)}^2} - {{\left( {8.12} \right)}^2}}}{{{{\left( {0.25} \right)}^2} + \left( {0.25} \right)\left( {19.99} \right)}}{\text{is:}}$$
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