If a + b + c = 0, then a³+b³+c³ is equal to 

If a²+b²+c² = 2(a – b – c) – 3 then the value of 4a – 3b + 5c is 

If x²+y²+z² = xy + yz + zx, then the value of $${3x^4+7y^4+5z^4}\over{5x^2y^2+7y^2z^2+3z^2x^2} $$ is

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 a=x+y, b=x-y, c=x+2y, then $$ {a^2+b^2+c^2}-ab-bc-ca $$ is

If then the value of

Solve the following equation.

Simplification