How do you multiply #(3k - 3) ( 5k - 1)#?

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Answer 1 · 2017-09-15T21:10:12

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)(3k) - color(red)(3))(color(blue)(5k) - color(blue)(1))# becomes:

#(color(red)(3k) xx color(blue)(5k)) - (color(red)(3k) xx color(blue)(1)) - (color(red)(3) xx color(blue)(5k)) + (color(red)(3) xx color(blue)(1))#

#15k^2 - 3k - 15k + 3#

We can now combine like terms:

#15k^2 + (-3 - 15)k + 3#

#15k^2 + (-18)k + 3#

#15k^2 - 18k + 3#