How do you find the product of #(3q+2)(9q^2-12q+4)#?

1 Answer
Jim G.
Sep 7, 2016

#27q^3-18q^2-12q+8#

Explanation:

We must ensure that each term in the 2nd bracket is multiplied by each term in the 1st bracket.
This can be done as follows.

#(color(red)(3q+2))(9q^2-12q+4)#

#=color(red)(3q)(9q^2-12q+4)color(red)(+2)(9q^2-12q+4)#

now distribute each bracket.

#=27q^3-36q^2+12q+18q^2-24q+8#

and collecting like terms gives.

#27q^3+(-36q^2+18q^2)+(12q-24q)+8#

#=27q^3-18q^2-12q+8larr" is the result of the product"#

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