How do you multiply #(5x + 6)(7x + 7)#?

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Answer 1 · 2018-03-10T11:43:53

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)(5x) + color(red)(6))(color(blue)(7x) + color(blue)(7))# becomes:

#(color(red)(5x) xx color(blue)(7x)) + (color(red)(5x) xx color(blue)(7)) + (color(red)(6) xx color(blue)(7x)) + (color(red)(6) xx color(blue)(7))#

#35x^2 + 35x + 42x + 42#

We can now combine like terms:

#35x^2 + (35 + 42)x + 42#

#35x^2 + 77x + 42#