How do you combine like terms in #(4x ^ { 2} - 3x + 5) + ( - 3x ^ { 2} + 5x - 9) #?

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Answer 1 · 2017-05-30T13:09:54

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

Next, group like terms:

#4x^2 - 3x^2 - 3x + 5x + 5 - 9#

Now, combine like terms:

#(4 - 3)x^2 + (-3 + 5)x + (5 - 9)#

#1x^2 + 2x + (-4)#

#x^2 + 2x - 4#