Question

Задание 2.1, пример "з"

Answer 1

$(a^2+ab+b^2)(a^2-ab+b^2)(a^4-a^2b^2+b^4)= \\\ =(a^4-a^3b+a^2b^2+a^3b-a^2b^2+ab^3+a^2b^2-ab^3+b^4)(a^4-a^2b^2+b^4)= \\\ =(a^4+a^2b^2+b^4)(a^4-a^2b^2+b^4)= \\\ =a^8-a^6b^2+a^4b^4+a^6b^2-a^4b^4+a^2b^6+a^4b^4-a^2b^6+b^8= \\\ =a^8+a^4b^4+b^8$