Find the following products:
$\left(\frac{x}{2}+2 y\right)\left(\frac{x^{2}}{4}-x y+4 y^{2}\right)$
If $x+y=-4,$ then what is the value of $x^{3}+y^{3}-12 x y+64 ?$
Expand
$(x+5 y)(x-5 y)$
Evaluate $(132)^{2}$ by using suitable identities
Factorise
$8 x^{3}+125 y^{3}+343-210 x y$