How do you simplify #(- 2x ^ { 2} - 4x - 5) + ( 5x ^ { 2} - 8x - 4)#?

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Answer 1 · 2018-04-12T01:13:39

See a solution process below:

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

#-2x^2 - 4x - 5 + 5x^2 - 8x - 4#

Next, group like terms:

#-2x^2 + 5x^2 - 4x - 8x - 5 - 4#

Now, combine like terms:

#(-2 + 5)x^2 + (-4 - 8)x + (-5 - 4)#

#3x^2 + (-12)x + (-9)#

#3x^2 - 12x - 9#