How do you multiply #(3m + 5) ( 8m + 1)#?

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Answer 1 · 2017-06-17T17:53:48

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)(8m) + color(blue)(1))# becomes:

#(color(red)(3m) xx color(blue)(8m)) + (color(red)(3m) xx color(blue)(1)) + (color(red)(5) xx color(blue)(8m)) + (color(red)(5) xx color(blue)(1))#

#24m^2 + 3m + 40m + 5#

We can now combine like terms:

#24m^2 + (3 + 40)m + 5#

#24m^2 + 43m + 5#