How do you subtract #(9x ^ { 2} y - 3x y + 6x y ^ { 2} ) - ( 5x ^ { 2} y + 4x y + 2x y ^ { 2} )#?

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Answer 1 · 2017-05-04T21:23:17

See a solution process below:

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

#9x^2y - 3xy + 6xy^2 - 5x^2y - 4xy - 2xy^2#

Next, group like terms:

#9x^2y - 5x^2y - 3xy - 4xy + 6xy^2 - 2xy^2#

Now, combine like terms:

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

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

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