How do you combine like terms in #(5z ^ { 4} + 6) - ( 4z ^ { 3} - 3) + ( 8z ^ { 4} - 5z ^ { 3} )#?

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Answer 1 · 2017-03-11T22:57:04

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:

#5z^4 + 6 - 4z^3 + 3 + 8z^4 - 5z^3#

Next, group like terms:

#5z^4 + 8z^4 - 5z^3 - 4z^3 + 3 + 6#

Now, combine like terms:

#(5 + 8)z^4 + (-5 - 4)z^3 + (3 + 6)#

#13z^4 - 9z^3 + 9#