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

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Answer 1 · 2016-12-03T11:52:09

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

First, expand the terms in parenthesis:

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

Then, group like terms:

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

Finally, combine the like terms:

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

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