How do you multiply #(5x - 5) ( 3x - 6)#?

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Answer 1 · 2017-04-17T12:22:23

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)(5x) - color(red)(5))(color(blue)(3x) - color(blue)(6))# becomes:

#(color(red)(5x) xx color(blue)(3x)) - (color(red)(5x) xx color(blue)(6)) - (color(red)(5) xx color(blue)(3x)) + (color(red)(5) xx color(blue)(6))#

#15x^2 - 30x - 15x + 30#

We can now combine like terms:

#15x^2 + (-30 - 15)x + 30#

#15x^2 + (-45)x + 30#

#15x^2 - 45x + 30#