How do you combine like terms in #(4x ^ { 2} - 3x - 6) - ( 7x ^ { 2} + 6x + 1)#?

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Answer 1 · 2017-05-19T12:52:18

See a solution process below:

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

#4x^2 - 3x - 6 - 7x^2 - 6x - 1#

Next, group like terms:

#4x^2 - 7x^2 - 3x - 6x - 6 - 1#

Now, combine like terms:

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

#-3x^2 + (-9)x + (-7)#

#-3x^2 - 9x - 7#