Question

(X-1)(x-1)(x²+1)(x⁴+1)

Answer 1

$x^{8}-2 x^{7}+2 x^{6}-2 x^{5}+2 x^{4}-2 x^{3}+2 x^{2} -2x+1$

Answer 2

x^8 - 1 
since x-1(x-1) =x^2 -1
x^2-1(x^+1)=x^4-1
x^4-1(x^4+1)=x^8-1