Out of the given responses one of the factors of  (a²-b²)³+(b²-c²)³+(c²-a²)³ is 

If for two real constants a and b the expression ax³+3x²-8x+b is exactly divisible by (x+2) and (x-2), then 

Simplification 

If then the value of

If average of two x and $$1\over x$$ (where x ≠ 0) is A, what will be the average of x³ and $$1\over {x^3}$$?

If $$ x={\sqrt3\over{2}}$$ then the value of $$ \sqrt{1+x}-\sqrt{1-x}$$ will be

If a = 2.234, b = 3.121 and c = –5.355, then the value of $$ a^3 + b^3 + c^3 – 3abc$$ is

If $$64^{x+1}={64\over 4^x}$$, then the value of x