Perform the polynomial operations and simplify (-7y³+4y²)-(3y³-y²)?

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Answer 1 · 2018-02-06T21:40:24

See a solution process below:

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

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

Next, group like terms:

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

Now, combine like terms:

#-7y^3 - 3y^3 + 4y^2 + 1y^2#

#(-7 - 3)y^3 + (4 + 1)y^2#

#-10y^3 + 5y^2#