How do you combine like terms in #(b ^ { 2} + 7b - 4) + ( 9b ^ { 2} + 7b + 7)#?

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Answer 1 · 2017-05-06T12:25:49

See a solution process below:

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

#b^2 + 7b - 4 + 9b^2 + 7b + 7#

Next, group like terms:

#b^2 + 9b^2 + 7b + 7b - 4 + 7#

Now, combine like terms:

#1b^2 + 9b^2 + 7b + 7b - 4 + 7#

#(1 + 9)b^2 + (7 + 7)b + (-4 + 7)#

#10b^2 + 14b + 3#