How do you simplify #(9v ^ { 2} + 4v + 2) + ( 5v ^ { 2} - 5v + 6) - ( 6v ^ { 2} - 5v - 5)#?

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Answer 1 · 2017-05-30T01:04:34

See a solution process below:

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

#9v^2 + 4v + 2 + 5v^2 - 5v + 6 - 6v^2 + 5v + 5#

Next, group like terms:

#9v^2 + 5v^2 - 6v^2 + 4v - 5v + 5v + 2 + 6 + 5#

Now, combine like terms:

#(9 + 5 - 6)v^2 + (4 - 5 + 5)v + (2 + 6 + 5)#

#8v^2 + 4v + 13#