How do you combine like terms in #(9x ^ { 2} - 8x + 8) - ( - x ^ { 2} + 6x + 5)#?

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Answer 1 · 2017-06-29T02:29:03

See a solution process below:

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

#9x^2 - 8x + 8 + x^2 - 6x - 5#

Next, group like terms:

#9x^2 + x^2 - 8x - 6x + 8 - 5#

Now, combine like terms:

#9x^2 + 1x^2 - 8x - 6x + 8 - 5#

#(9 + 1)x^2 + (- 8 - 6)x + (8 - 5)#

#10x^2 + (-14)x + 3#

#10x^2 - 14x + 3#