How do you simplify #(4x ^ { 2} - 6x - 1) - ( 7x ^ { 2} + 3x - 2)#?

1 Answer
Anthony R.
Nov 16, 2017

#-3x^2-9x+1#

Explanation:

First simplify the right side by distributing the negative to #(7x^2+3x-2)#

#(4x^2-6x-1)-(7x^2+3x-2)#

#4x^2-6x-1-7x^2-3x+2#

Identify and combine like terms:

#color(red)(4x^2)color(blue)(-6x)color(purple)(-1)color(red)(-7x^2)color(blue)(-3x)color(purple)(+2)#

#color(red)(4x^2-7x^2)color(blue)(-6x-3x)color(purple)(-1+2)#

#color(red)(-3x^2)color(blue)(-9x)color(purple)(+1)#

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