How do you simplify #(- 12t ^ { 2} - 11w - 9w ^ { 2} ) + ( - t ^ { 2} + 7w + 10v ^ { 2} )#?

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Answer 1 · 2017-10-15T10:28:16

See a solution process below:

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

#-12t^2 - 11w - 9w^2 - t^2 + 7w + 10v^2#

Next, group like terms:

#-12t^2 - t^2 - 9w^2 - 11w + 7w + 10v^2#

Now, combine like terms:

#-12t^2 - 1t^2 - 9w^2 - 11w + 7w + 10v^2#

#(-12 - 1)t^2 - 9w^2 + (-11 + 7)w + 10v^2#

#-13t^2 - 9w^2 + (-4)w + 10v^2#

#-13t^2 - 9w^2 - 4w + 10v^2#