Question

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

Answer 1

For this case we must simplify the following expression:

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

We apply distributive property:

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

To multiply powers of the same base, the same base is placed and the exponents are added.

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

We simplify similar terms:

`a ^ 3 + b ^ 3`

Finally we have:

`a ^ 3 + b ^ 3`

Answer:

`a ^ 3 + b ^ 3`