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:

$a ^ 3 + b ^ 3$