How do you find the product #(2w-5)(w+7)#?

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Answer 1 · 2017-03-07T14:45:41

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)(2w) - color(red)(5))(color(blue)(w) + color(blue)(7))# becomes:

#(color(red)(2w) xx color(blue)(w)) + (color(red)(2w) xx color(blue)(7)) - (color(red)(5) xx color(blue)(w)) - (color(red)(5) xx color(blue)(7))#

#2w^2 + 14w - 5w - 35#

We can now combine like terms:

#2w^2 + (14 - 5)w - 35#

#2w^2 + 9w - 35#