How do you combine #(8x ^ { 2} - 8x ^ { 3} - 4x ) - ( 5x + 8x ^ { 3} + 2x ^ { 2} )#?

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Answer 1 · 2017-07-30T22:17:35

See a solution process below:

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

#8x^2 - 8x^3 - 4x - 5x - 8x^3 - 2x^2#

Next, group like terms from largest exponent factor to lowest:

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

Now, combine like terms:

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

#-16x^3 + 6x^2 + (-9)x#

#-16x^3 + 6x^2 - 9x#