How do you simplify #(9z ^ { 2} - 5z ^ { 3} + 3z ^ { 4} ) - ( 7z ^ { 4} - 6) + ( 4z ^ { 3} + 8z ^ { 2} )#?

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Answer 1 · 2017-10-03T19:33:40

See a solution process below:

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

#9z^2 - 5z^3 + 3z^4 - 7z^4 + 6 + 4z^3 + 8z^2#

Next, group like terms:

#3z^4 - 7z^4 - 5z^3 + 4z^3 + 9z^2 + 8z^2 + 6#

Now, combine like terms:

#(3 - 7)z^4 + (-5 + 4)z^3 + (9 + 8)z^2 + 6#

#-4z^4 + (-1)z^3 + 17z^2 + 6#

#-4z^4 - 1z^3 + 17z^2 + 6#