How do you combine like terms in #(- 9w ^ { 2} - 7w - 9) + ( 7w ^ { 2} + 8w - 1) - ( 5w ^ { 2} - 9w - 8)#?

Question

622 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-04T12:57:18

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:

#-9w^2 - 7w - 9 + 7w^2 + 8w - 1 - 5w^2 + 9w + 8#

Next, group like terms:

#-9w^2 + 7w^2 - 5w^2 + 8w + 9w - 7w - 9 - 1 + 8#

Now, combine like terms:

#(-9 + 7 - 5)w^2 + (8 + 9 - 7)w + (-9 - 1 + 8)#

#(-7)w^2 + 10w + (-2)#

#-7w^2 + 10w - 2#