Question

Calculati (a-b)(a+b)(a^2+b^2)(a^4-b^4)= ?

Answer 1

(a-b)(a+b)(a^2+b^2)(a^4-b^4)=(a^2-b^2)(a^2+b^2)(a^4+b^2)=(a^4-b^4)(a^4+b^4)=a^8-b^8

Answer 2

(a-b)(a+b)(a²+b²)(a⁴+b⁴)=(a²-b²)(a²+b²)(a⁴+b⁴)=[(a²)²-(b²)²](a⁴+b⁴)=(a⁴-b⁴)(a⁴+b⁴)=
=(a⁴)²-(b⁴)²=a⁸-b⁸