How do you combine like terms in #(7y ^ { 3} + 6y ^ { 2} + 2y + 2) + ( 5y ^ { 3} + 8)#?

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Answer 1 · 2017-04-09T22:00:24

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:

#7y^3 + 6y^2 + 2y + 2 + 5y^3 + 8#

Next, group like terms:

#7y^3 + 5y^3 + 6y^2 + 2y + 2 + 8#

Now, combine like terms:

#(7 + 5)y^3 + 6y^2 + 2y + (2 + 8)#

#12y^3 + 6y^2 + 2y + 10#