How do you evaluate #(2y ^ { 3} + 6y ^ { 2} - 7y ) - ( 5y ^ { 2} - 8y + 2)#?

Question

415 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-12-08T14:38:51

See a solution process below:

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

#2y^3 + 6y^2 - 7y - 5y^2 + 8y - 2#

Next, group like terms:

#2y^3 + 6y^2 - 5y^2 - 7y + 8y - 2#

Now, combine like terms:

#2y^3 + (6 - 5)y^2 + (-7 + 8)y - 2#

#2y^3 + 1y^2 + 1y - 2#

#2y^3 + y^2 + y - 2#