Question

Докажите тождество (a^4+b^4)(a^2+b^2)(a+b)(a-b)=a^8-B^8

Answer 1

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