Expand $(2 x+5 y)^{2}$.

Find $p(0)$,$p(1)$,and $p(-2)$ for the following polynomial:
$p(y) = (y+2)(y-2)$

Without actually calculating the cubes,find the value of each of the following:
$(31)^{3} - (16)^{3} - (15)^{3}$

Which of the following expressions is a polynomial? State the reason. If an expression is a polynomial,state whether it is a polynomial in one variable or not: $3x^2 + 5x - 7 + \frac{8}{x}$

With the help of the remainder theorem,examine whether $x+2$ is a factor of the polynomial $x^{3}+9x^{2}+26x+24$ or not.

Find the value of the polynomial $p(x) = x^{2} - 7x + 12$ at $x = 3$.