How do you combine like terms in #(- 2u ^ { 2} + u - 5) + ( 4u ^ { 2} + 3u + 7)#?

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Answer 1 · 2017-06-04T19:19:12

See a solution process below:

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

#-2u^2 + u - 5 + 4u^2 + 3u + 7#

Next, group like terms:

#-2u^2 + 4u^2 + u + 3u - 5 + 7#

Now, combine like terms:

#-2u^2 + 4u^2 + 1u + 3u - 5 + 7#

#(-2 + 4)u^2 + (1 + 3)u + (-5 + 7)#

#2u^2 + 4u + 2#