How do you multiply 6a (a^2 + 2ab + b^2) ?

2 Answers
May 10, 2018

6a^3 + 12a^2b + 6ab^2

Explanation:

6a(a^2 + 2ab + b^2)

The distributive property is shown here:
cdn.virtualnerd.comcdn.virtualnerd.com

Although the image has two terms inside the parenthesis rather than three terms in the question, we can apply it to this question.

The color(blue)(6a) multiplies to everything inside the parenthesis:
(6a * a^2) + (6a * 2ab) + (6a * b^2)

Now simplify by multiplying:
6a^3 + 12a^2b + 6ab^2

Hope this helps!

May 10, 2018

6a^3+12a^2b+6ab^2

Explanation:

6a(a^2+2ab+b^2)

Use the Distributive Property:
=6a*a^2+6a* 2ab+6a* b^2
=6a^3+12a^2b+6ab^2