Доказать тождество (a-b)(a-b)(a-b)=8^3-3a^2b+3ab^2-b^3

Question

Доказать тождество (a-b)(a-b)(a-b)=8^3-3a^2b+3ab^2-b^3

Answer 1

(a²-2ab+b²)(a-b)=a³-a²b-2a²b+2ab²+ab²-b³=a³-3a²b+3a²b-b³