How do you combine like terms in #(6c ^ { 2} + 5c - 3) - ( 3c ^ { 2} + 8c - 1)#?

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Answer 1 · 2017-05-30T15:55:33

See a solution process below:

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

#6c^2 + 5c - 3 - 3c^2 - 8c + 1#

Next, group like terms:

#6c^2 - 3c^2 + 5c - 8c - 3 + 1#

Now, combine like terms:

#(6 - 3)c^2 + (5 - 8)c + (-3 + 1)#

#3c^2 + (-3)c + (-2)#

#3c^2 - 3c - 2#