How do you combine like terms in #(m + 3m ^ { 3} - 4m ^ { 5} ) + ( 2m ^ { 3} + 5m ^ { 5} - 4)#?

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Answer 1 · 2017-03-11T23:16:10

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:

#m + 3m^3 - 4m^5 + 2m^3 + 5m^5 - 4#

Next, group like terms:

#5m^5 - 4m^5 + 3m^3 + 2m^3 + m - 4#

Now, combine like terms:

#(5 - 4)m^5 + (3 + 2)m^3 + m - 4#

#1m^5 + 5m^3 + m - 4#

#m^5 + 5m^3 + m - 4#