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

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Answer 1 · 2018-05-10T02:21:58

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

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

The distributive property is shown here:
cdn.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!

Answer 2 · 2018-05-10T02:22:44

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

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

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