How do you simplify #(v ^ { 2} - 5v - 7) + ( 6v ^ { 2} - 2v + 3)#?

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Answer 1 · 2018-01-19T21:18:33

See a solution process below:

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

#v^2 - 5v - 7 + 6v^2 - 2v + 3#

Next, group like terms:

#v^2 + 6v^2 - 5v - 2v - 7 + 3#

Now, combine like terms:

#1v^2 + 6v^2 - 5v - 2v - 7 + 3#

#(1 + 6)v^2 + (-5 - 2)v + (-7 + 3)#

#7v^2 + (-7)v + (-4)#

#7v^2 - 7v - 4#