How do you combine like terms in #(- 8v ^ { 2} - 4v ^ { 5} - 13v ) + ( 2v + 9v ^ { 5} - 7v ^ { 2} )#?

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Answer 1 · 2017-05-22T22:39:09

See a solution process below:

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

#-8v^2 - 4v^5 - 13v + 2v + 9v^5 - 7v^2#

Next, group like terms:

#9v^5 - 4v^5 - 8v^2 - 7v^2 - 13v + 2v#

Now, combine like terms:

#(9 - 4)v^5 + (-8 - 7)v^2 + (-13 + 2)v#

#5v^5 + (-15)v^2 + (-11)v#

#5v^5 - 15v^2 - 11v#