How do you combine like terms in #(3x ^ { 2} - 7x + 5) - ( - 5x ^ { 2} - 5x + 2)#?

2 Answers
Meave60
Mar 3, 2018

#(3x^2-7x+5)-(-5x^2-5x+2)=color(blue)(8x^2-2x+3#

Explanation:

Given:

#(3x^2-7x+5)-(-5x^2-5x+2)#

Simplify.

#3x^2-7x+5-(-5x^2-5x+2)#

Simplify parentheses.

#3x^2-7x+5+5x^2+5x-2#

Collect like terms.

#(3x^2+5x^2)+(-7x+5x)+(5-2)#

Combine like terms.

#8x^2-2x+3#

Gav
Mar 3, 2018

#8x^2-2x+3#

Explanation:

First multiply -1 to the second bracket
#-(-5x^2-5x+2)=5x^2+5x-2#
Then, you can just minus the first bracket by the second bracket
#3x^2+5x^2-7x+5x+5-2=8x^2-2x+3#

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