How do you combine like terms in #(3x ^ { 3} + 2x ^ { 2} + 2x + 1) + ( x ^ { 3} - x ^ { 2} + x + 2)#?

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Answer 1 · 2017-06-18T22:49:27

See a solution process below:

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

#3x^3 + 2x^2 + 2x + 1 + x^3 - x^2 + x + 2#

Next, group like terms:

#3x^3 + x^3 + 2x^2 - x^2 + 2x + x + 1 + 2#

Now, combine like terms:

#3x^3 + 1x^3 + 2x^2 - 1x^2 + 2x + 1x + 1 + 2#

#(3 + 1)x^3 + (2 - 1)x^2 + (2 + 1)x + (1 + 2)#

#4x^3 + 1x^2 + 3x + 3#

#4x^3 + x^2 + 3x + 3#