How do you simplify #(6c ^ { 3} + 3c ^ { 2} + 7c ) - ( 4c ^ { 3} + 7c )#?

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Answer 1 · 2017-08-10T11:30:27

See a solution process below:

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

#6c^3 + 3c^2 + 7c - 4c^3 - 7c#

Next, group like terms:

#6c^3 - 4c^3 + 3c^2 + 7c - 7c#

Now, combine like terms:

#(6 - 4)c^3 + 3c^2 + (7 - 7)c#

#2c^3 + 3c^2 + 0c#

#2c^3 + 3c^2#