How do you evaluate #(3y ^ { 4} + 2y ^ { 2} - 7y ) + ( 5y ^ { 3} - 2y ^ { 2} + 2y + 9)#?

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Answer 1 · 2018-01-30T22:19:01

See a solution process below:

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

#3y^4 + 2y^2 - 7y + 5y^3 - 2y^2 + 2y + 9#

Next, group like terms:

#3y^4 + 5y^3 + 2y^2 - 2y^2 - 7y + 2y + 9#

Now, combine like terms:

#3y^4 + 5y^3 + (2 - 2)y^2 + (-7 + 2)y + 9#

#3y^4 + 5y^3 + 0y^2 + (-5)y + 9#

#3y^4 + 5y^3 - 5y + 9#