How do you combine like terms in #(3v ^ { 3} - 8v ^ { 2} + 5) + ( 2v ^ { 3} + 5- 4v )#?

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Answer 1 · 2017-05-23T17:36:50

See a solution process below:

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

#3v^3 - 8v^2 + 5 + 2v^3 + 5 - 4v#

Next, group like terms:

#3v^3 + 2v^3 - 8v^2 - 4v + 5 + 5#

Now, combine like terms:

#(3 + 2)v^3 - 8v^2 - 4v + (5 + 5)#

#5v^3 - 8v^2 - 4v + 10#