How do you multiply #(-8- 2x ) ( 3- 7x )#?

1 Answer
smendyka
Jul 21, 2017

See a solution process below:

Explanation:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

#(color(red)(-8) - color(red)(2x))(color(blue)(3) - color(blue)(7x))# becomes:

#(color(red)(-8) xx color(blue)(3)) + (color(red)(-8) xx color(blue)(-7x)) - (color(red)(2x) xx color(blue)(3)) + (color(red)(2x) xx color(blue)(7x))#

#-24 + 56x - 6x + 14x^2#

We can now group and combine like terms:

#14x^2 + 56x - 6x - 24#

#14x^2 + (56 - 6)x - 24#

#14x^2 + 50x - 24#

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