How do you combine like terms in #(3d ^ { 3} + 9d ^ { 2} + 8d + 4) - ( d ^ { 3} + 9d ^ { 2} + d + 2)#?

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Answer 1 · 2018-03-06T20:48:28

See a solution process below:

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

#3d^3 + 9d^2 + 8d + 4 - d^3 - 9d^2 - d - 2#

Next, group like terms:

#3d^3 - d^3 + 9d^2 - 9d^2 + 8d - d + 4 - 2#

Now, combine like terms:

#3d^3 - 1d^3 + 9d^2 - 9d^2 + 8d - 1d + 4 - 2#

#(3 - 1)d^3 + (9 - 9)d^2 + (8 - 1)d + (4 - 2)#

#2d^3 + 0d^2 + 7d + 2#

#2d^3 + 7d + 2#