How do you simplify #(2x ^ { 3} - 5x ^ { 3} y ^ { 2} + x ^ { 2} ) + ( - 6x ^ { 3} y ^ { 2} + 3x ^ { 2} )#?

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Answer 1 · 2017-03-12T16:51:03

See the entire solution process below:

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

#2x^3 - 5x^3y^2 + x^2 - 6x^3y^2 + 3x^2#

Next, group like terms:

#2x^3 - 5x^3y^2 - 6x^3y^2 + x^2 + 3x^2#

Now, combine like terms:

#2x^3 - 5x^3y^2 - 6x^3y^2 + 1x^2 + 3x^2#

#2x^3 + (-5 - 6)x^3y^2 + (1 + 3)x^2#

#2x^3 - 11x^3y^2 + 4x^2#