How do you combine #(6- 4n ^ { 3} - 3n ^ { 4} ) - ( 4n ^ { 4} - 4n - 3n ^ { 3} )#?

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Answer 1 · 2017-08-01T02:01:03

See a solution process below:

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

#6 - 4n^3 - 3n^4 - 4n^4 + 4n + 3n^3#

Next, group like terms in descending order of the exponents:

#-4n^4 - 3n^4 + 3n^3 - 4n^3 + 4n + 6#

Now, combine like terms:

#(-4 - 3)n^4 + (3 - 4)n^3 + 4n + 6#

#-7n^4 + (-1)n^3 + 4n + 6#

#-7n^4 -1n^3 + 4n + 6#

#-7n^4 - n^3 + 4n + 6#