How do you multiply #(3n + 2)(2n + 3)#?

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Answer 1 · 2017-03-07T14:31:18

See the entire solution process below:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

#(color(red)(3n) + color(red)(2))(color(blue)(2n) + color(blue)(3))# becomes:

#(color(red)(3n) xx color(blue)(2n)) + (color(red)(3n) xx color(blue)(3)) + (color(red)(2) xx color(blue)(2n)) + (color(red)(2) xx color(blue)(3))#

#6n^2 + 9n + 4n + 6#

We can now combine like terms:

#6n^2 + (9 + 4)n + 6#

#6n^2 + 13n + 6#