Respuesta :

For this case we must simplify the following expression:

[tex](a + b) (a ^ 2-ab + b ^ 2)[/tex]

We apply distributive property:

[tex]a * a ^ 2-a * ab + a * b ^ 2 + b * a ^ 2-b * ab + b * b ^ 2 =[/tex]

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

[tex]a ^ 3-a ^ 2b + ab ^ 2 + a ^ 2b-ab ^ 2 + b ^ 3 =[/tex]

We simplify similar terms:

[tex]a ^ 3 + b ^ 3[/tex]

Finally we have:

[tex]a ^ 3 + b ^ 3[/tex]

Answer:

[tex]a ^ 3 + b ^ 3[/tex]