How do you combine like terms in #(3.6x ^ { 3} - 7.8x + 3.4) + ( 2.4x ^ { 2} - 6.8x - 8.7)#?

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Answer 1 · 2017-04-17T21:13:26

See the entire solution process below:

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

#3.6x^3 - 7.8x + 3.4 + 2.4x^2 - 6.8x - 8.7#

Next, group like terms:

#3.6x^3 + 2.4x^2 - 7.8x - 6.8x + 3.4 - 8.7#

Now, combine like terms:

#3.6x^3 + 2.4x^2 + (-7.8 - 6.8)x + (3.4 - 8.7)#

#3.6x^3 + 2.4x^2 + (-14.6)x + (-5.3)#

#3.6x^3 + 2.4x^2 - 14.6x - 5.3#