Question

(x-1)(x+1)(x^2+1)(x^4+1)

Answer 1

Formula de calcul prescurtat: (a+b)(a-b)=a^2-b^2

• (x-1)(x+1)(x^2+1)(x^4+1)

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

• (x^2-1)(x^2+1)(x^4+1)=

[(x^2)^2-1^2](x^4+1)=

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