How do you simplify #(- 5k - 4) ( - 3k + 1)#?

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Answer 1 · 2018-03-25T12:54:08

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)(-5k) - color(red)(4))(color(blue)(-3k) + color(blue)(1))# becomes:

#(color(red)(-5k) xx color(blue)(-3k)) - (color(red)(5k) xx color(blue)(1)) + (color(red)(4) xx color(blue)(3k)) - (color(red)(4) xx color(blue)(1))#

#15k^2 - 5k + 12k - 4#

We can now combine like terms:

#15k^2 + (-5 + 12)k - 4#

#15k^2 + 7k - 4#