How do you simplify: #(-4 + x^2 + 2x^3) – (-6 – x + 3x^3) – (-6y^3 + y^2)#?

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Answer 1 · 2018-06-22T22:03:13

See a solution process below:

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

#-4 + x^2 + 2x^3 + 6 + x - 3x^3 + 6y^3 - y^2#

Next, group like terms:

#2x^3- 3x^3 + x^2 + x - 4 + 6 - y^2 + 6y^3#

Now, combine like terms:

#2x^3- 3x^3 + 1x^2 + 1x - 4 + 6 - 1y^2 + 6y^3#

#(2- 3)x^3 + 1x^2 + 1x + (-4 + 6) - 1y^2 + 6y^3#

#-1x^3 + 1x^2 + 1x + 2 - 1y^2 + 6y^3#

#-x^3 + x^2 + x + 2 - y^2 + 6y^3#