Question

Докажите тождество:
(a4+b4)(a2+b2)(a+b)(a-b)=a8-b8

Answer 1

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