How do you combine #(- 3x + 5x ^ { 2} - 1) + ( - 7+ 2x - 7x ^ { 2} )#?

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Answer 1 · 2017-08-31T11:52:01

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 + 5x^2 - 1 - 7 + 2x - 7x^2#

Next, group like terms:

#5x^2 - 7x^2 + 2x - 3x - 1 - 7#

Now, combine like terms:

#(5 - 7)x^2 + (2 - 3)x + (-1 - 7)#

#-2x^2 + (-1)x + (-8)#

#-2x^2 - 1x - 8#

#-2x^2 - x - 8#