How do you combine like terms in #(5x ^ { 2} + 17x - 14) + ( - 3x ^ { 2} - 8x + 6)#?

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Answer 1 · 2017-04-11T19:13:34

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:

#5x^2 + 17x - 14 - 3x^2 - 8x + 6#

Next, group like terms:

#5x^2 - 3x^2 + 17x - 8x - 14 + 6#

Now, combine like terms:

#(5 - 3)x^2 + (17 - 8)x + (-14 + 6)#

#2x^2 + 9x + (-8)#

#2x^2 + 9x - 8#