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]