How do you find the sum or difference of #(-4z^3-2z+8)-(4z^3+3z^2-5)#?

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Answer 1 · 2017-02-12T21:36:05

See the entire solution process below:

First, expand the terms in parenthesis. Be careful to handle the signs for each individual term correctly:

#-4z^3 - 2z + 8 - 4z^3 - 3z^2 + 5#

Next, group like terms together:

#-4z^3 - 4z^3 - 3z^2 - 2z + 8 + 5#

Now, combine like terms:

#(-4 - 4)z^3 - 3z^2 - 2z + 13#

#-8z^3 - 3z^2 - 2z + 13#