How do you subtract #(j ^ { 2} + 8) - ( - j ^ { 3} + 8j ^ { 2} + 8j - 5)#?

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Answer 1 · 2017-06-04T14:43:13

See a solution process below:

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

#j^2 + 8 + j^3 - 8j^2 - 8j + 5#

Next, group like terms:

#j^3 + j^2 - 8j^2 - 8j + 8 + 5#

Now, combine like terms:

#j^3 + 1j^2 - 8j^2 - 8j + 8 + 5#

#j^3 + (1 - 8)j^2 - 8j + (8 + 5)#

#j^3 + (-7)j^2 - 8j + 13#

#j^3 - 7j^2 - 8j + 13#