How do you evaluate #(3x ^ { 2} y + x - 5x y ^ { 2} ) - ( 7x y ^ { 2} - 4y ^ { 2} + 6x )#?

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Answer 1 · 2017-12-08T04:37:39

See a solution process below:

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

#3x^2y + x - 5xy^2 - 7xy^2 + 4y^2 - 6x#

Next, group like terms:

#3x^2y + x - 6x + 4y^2 - 5xy^2 - 7xy^2#

Now, combine like terms:

#3x^2y + 1x - 6x + 4y^2 - 5xy^2 - 7xy^2#

#3x^2y + (1 - 6)x + 4y^2 + (-5 - 7)xy^2#

#3x^2y + (-5)x + 4y^2 + (-12)xy^2#

#3x^2y - 5x + 4y^2 - 12xy^2#