Question

Докажите тождество (a^2+b^2)(a^4-a^2b^2+b^4)+(a^3-b^3)(a^3+b^3)=2a^6

Answer 1

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