How do you simplify #(6x y ^ { 2} + x - 4x ^ { 2} y ) - ( 7x ^ { 2} y - 3y ^ { 2} + 2x )#?

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Answer 1 · 2017-09-03T23:43:46

See a solution process below:

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

#6xy^2 + x - 4x^2y - 7x^2y + 3y^2 - 2x#

Next, group like terms:

#6xy^2 + x - 2x - 4x^2y - 7x^2y + 3y^2#

Now, combine like terms:

#6xy^2 + 1x - 2x - 4x^2y - 7x^2y + 3y^2#

#6xy^2 + (1 - 2)x + (-4 - 7)x^2y + 3y^2#

#6xy^2 + (-1)x + (-11)x^2y + 3y^2#

#6xy^2 - x - 11x^2y + 3y^2#

#3y^2 + 6xy^2 - 11x^2y - x#