Question

Explain how you can prove the difference of two cubes identity. a3 – b3 = (a – b)(a2 ab b2)

Answer 1

Explanation:

Expanding the right-hand side,

`(a-b)(a^(2)+ab+b^(2))=a^(3)+a^(2)b+ab^(2)-a^(2)b-ab^(2)-b^(3)=a^(3)-b^(3)`

Thus, the identity is true.