How do you combine like terms in #(- 3x ^ { 2} + 7x + 5) - ( 4x ^ { 2} + 17x - 8)#?

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Answer 1 · 2017-06-02T19:53:02

See a solution process below:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

#-3x^2 + 7x + 5 - 4x^2 - 17x + 8#

Next, group like terms:

#-3x^2 - 4x^2 + 7x - 17x + 5 + 8#

Now, combine like terms:

#(-3 - 4)x^2 + (7 - 17)x + (5 + 8)#

#-7x^2 + (-10)x + 13#

#-7x^2 - 10x + 13#