How do you combine like terms in #(8m ^ { 4} + 6m ^ { 3} + 8m ^ { 2} ) + ( 7m ^ { 2} + 3m ^ { 3} - 2m ^ { 4} )#?

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Answer 1 · 2017-04-11T21:48:16

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:

#8m^4 + 6m^3 + 8m^2 + 7m^2 + 3m^3 - 2m^4#

Next, group like terms:

#8m^4 - 2m^4 + 6m^3 + 3m^3 + 8m^2 + 7m^2#

Now, combine like terms:

#(8 - 2)m^4 + (6 + 3)m^3 + (8 + 7)m^2#

#6m^4 + 9m^3 + 15m^2#