Question

It says write an equivalent expression for this equation right here. That's not a negative in the first part sorry for that.

Answer 1

The given expression is

(a+b)(a^2-ab+b^2)

We would simplify by multiplying the terms in the first bracket by the terms in the second bracket. We have

a * a^2 + a * - ab + a * b^2 + b * a^2 + b * - ab + b * b^2

= a^3 - a^2b + ab^2 + a^2b - ab^2 + b^3

We would collect like terms. It becomes

a^3 - a^2b + a^2b + ab^2 - ab^2 + b^3

= a^3 + b^3