Question

Разложите на множители:
a^3-b^3-5a^2b+5ab^2

Answer 1

a^3-b^3-5a^2b+5ab^2=
=(a-b)*(a^2+ab+b^2)-5ab*(a-b)=(a-b)*(a^2+ab+b^2-5ab)=
=(a-b)*(a^2-4ab+b^2)