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

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Answer 1 · 2017-05-16T21:54:07

See a solution process below:

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

#4r^2 + 7r - 3r^2 + 2r - 7#

Next, group like terms:

#4r^2 - 3r^2 + 7r + 2r - 7#

Now, combine like terms:

#(4 - 3)r^2 + (7 + 2)r - 7#

#1r^2 + 9r - 7#

#r^2 + 9r - 7#