1. The factors of (a2 + 4b2 + 4b - 4ab - 2a - 8) are?
2. The value of $$\frac{1}{{{a^2} + ax + {x^2}}}$$ $$ - $$ $$\frac{1}{{{a^2} - ax + {x^2}}}$$ $$ + $$ $$\frac{2ax}{{{a^4} + {a^2}{x^2} + {x^4}}}$$ is?
3. If x = 11, then the value of x5 - 12x4 + 12x3 - 12x2 + 12x - 1 is?
4. If x = 997, y = 998 and z = 999 then the value of x2 + y2 + z2 - xy - yz - zx is?
5. If $$x + \frac{1}{x} = 3{\text{,}}$$ then the value of $$\frac{{3{x^2} - 4x + 3}}{{{x^2} - x + 1}}$$ is?
6. If $$x = p + \frac{1}{p}$$ and $$y = p - \frac{1}{p}$$ then the value of x4 - 2x2y2 + y4 = ?
7. If a + b + c = 0, then the value of (a + b - c)2 + (b + c - a)2 + (c + a - b)2 is?
8. If x = 2015, y = 2014, z = 2013, then the value of x2 + y2 + z2 - xy - yz - zx is?
9. If $$3{a^2} = {b^2} \ne 0{\text{,}}$$ then the value of $$\frac{{{{\left( {a + b} \right)}^3} - {{\left( {a - b} \right)}^3}}}{{{{\left( {a + b} \right)}^2} + {{\left( {a - b} \right)}^2}}}$$ is?
10. The value of $$\frac{{4{x^3} - x}}{{\left( {2x + 1} \right)\left( {6x - 3} \right)}}$$ when x = 9999 is?
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