How do you find the product of #(2x + 3) (x - 3) #?

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Answer 1 · 2017-02-11T02:00:06

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)(2x) + color(red)(3))(color(blue)(x) - color(blue)(3))# becomes:

#(color(red)(2x) xx color(blue)(x)) - (color(red)(2x) xx color(blue)(3)) + (color(red)(3) xx color(blue)(x)) - (color(red)(3) xx color(blue)(3))#

#2x^2 - 6x + 3x - 9#

We can now combine like terms:

#2x^2 + (-6 + 3)x - 9#

#2x^2 - 3x - 9#