How do you combine like terms in #(7x ^ { 2} + 3x + 1) - ( 9x ^ { 2} + 5x - 1)#?

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Answer 1 · 2017-04-03T20:02:26

See the entire solution process below:

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

#7x^2 + 3x + 1 - 9x^2 - 5x + 1#

Next, group like terms:

#7x^2 - 9x^2 + 3x - 5x + 1 + 1#

Now, combine like terms:

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

#-2x^2 - 2x + 2#