How do you combine like terms in #(9b ^ { 2} + 6- 2b ^ { 3} ) - ( 5b ^ { 3} + 12b ^ { 2} + 8)#?

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Answer 1 · 2017-05-31T18:43:20

See a solution process below:

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

#9b^2 + 6 - 2b^3 - 5b^3 - 12b^2 - 8#

Next, group like terms:

#-2b^3 - 5b^3 + 9b^2 - 12b^2 + 6 - 8#

Now, combine like terms:

#(-2 - 5)b^3 + (9 - 12)b^2 + (6 - 8)#

#-7b^3 + (-3)b^2 + (-2)#

#-7b^3 - 3b^2 - 2#