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

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Answer 1 · 2017-09-04T15:20:21

See a solution process below:

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

#6color(red)(x^2y) + 4color(blue)(xy^2) - 5color(orange)(y) + 2color(blue)(xy^2) + 7color(red)(x^2y) - color(orange)(y)#

Next, group like terms:

#6color(red)(x^2y) + 7color(red)(x^2y) - 5color(orange)(y) - color(orange)(y) + 4color(blue)(xy^2) + 2color(blue)(xy^2)#

Now, combine like terms:

#6color(red)(x^2y) + 7color(red)(x^2y) - 5color(orange)(y) - 1color(orange)(y) + 4color(blue)(xy^2) + 2color(blue)(xy^2)#

#(6 + 7)color(red)(x^2y) + (-5 - 1)color(orange)(y) + (4 + 2)color(blue)(xy^2)#

#13color(red)(x^2y) + (-6)color(orange)(y) + 6color(blue)(xy^2)#

#13color(red)(x^2y) - 6color(orange)(y) + 6color(blue)(xy^2)#