Question

How do you factor `(x^8)-16`?

Answer 1

It is

`x^8-16=(x^4)^2-4^2=(x^4-4)*(x^4+4)=(x^2-2)*(x^2+2)*[(x^2+2)^2-4x^2]=(x^2-2)*(x^2+2)*(x^2+2-2x)*(x^2+2+2x)`