How do you combine #(- 5y ^ { 2} + 6y - 1) + ( 3y ^ { 2} + 7y + 2)#?

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Answer 1 · 2018-01-30T18:41:39

See a solution process below:

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

#-5color(red)(y^2) + 6color(blue)(y) - color(green)(1) + 3color(red)(y^2) + 7color(blue)(y) + color(green)(2)#

Next, group like terms:

#-5color(red)(y^2) + 3color(red)(y^2) + 6color(blue)(y) + 7color(blue)(y) - color(green)(1) + color(green)(2)#

Now, combine like terms:

#(-5 + 3)color(red)(y^2) + (6 + 7)color(blue)(y) + (-color(green)(1) + color(green)(2))#

#-2color(red)(y^2) + 13color(blue)(y) + color(green)(1)#