How do you simplify #-7x (-4x+2)+6(x-7)#?

1 Answer
smendyka
Feb 19, 2017

See the entire solution process below:

Explanation:

First, expand the terms in parenthesis by multiplying each term within the parenthesis by the associated term outside the parenthesis. Pay special attention to the sign of each individual term:

#color(red)(-7x)(-4x + 2) + color(blue)(6)(x - 7)# becomes:

#(color(red)(-7x) xx -4x) + (color(red)(-7x) xx 2) + (color(blue)(6) xx x) - (color(blue)(6) xx 7) ->#

#28x^2 - 14x + 6x - 42#

We can now combine like terms:

#28x^2 + (-14 + 6)x - 42#

#28x^2 -8x - 42#

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