Find the value of

$x^{3}+y^{3}-12 x y+64,$ when $x+y=-4$

Evaluate the following products without multiplying directly

$103 \times 105$

Find the value of $a$, if $x-a$ is a factor of $x^{3}-a x^{2}+2 x+a-1$.

If $p(-3)=0,$ then one of the factors of $p(x)$ is………

With the help of the remainder theorem, find the remainder when the polynomial $x^{3}+x^{2}-26 x+24$ is divided by each of the following divisors

$x+4$