If 4x² + y² = 40 and xy = 6, then find the value of 2x + y.

A complete factorization of x⁴+64 is 

If a = 2·361, b = 3·263 and c = 5·624, then the value of a³ + b³ – c³ + 3abc is

What is the simplified form the expression (1+x)(1+x²)(1+x⁴)(1+x⁸)(1-x)?

If  $$n+{2\over 3}n+{1\over2}n+{1\over7}n=97$$ then the value of n is : 

If P = 99, then the value of P(P²+3P+3) is

Simplify the following expression.

$${\left({375+125} \right)^2-\left({125-375} \right)^2}\over 375×375-125×125$$

If x+y+z=10, x²+y²+z²=30, then the value of x³+y³+z³-3xyz is _________.