How do you find the product #(3m+5)(2m+3)#?

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Answer 1 · 2018-03-20T16:12:43

See a 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)(3m) + color(red)(5))(color(blue)(2m) + color(blue)(3))# becomes:

#(color(red)(3m) xx color(blue)(2m)) + (color(red)(3m) xx color(blue)(3)) + (color(red)(5) xx color(blue)(2m)) + (color(red)(5) xx color(blue)(3))#

#6m^2 + 9m + 10m + 15#

We can now combine like terms:

#6m^2 + (9 + 10)m + 15#

#6m^2 + 19m + 15#