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

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Answer 1 · 2017-07-16T15:22:36

See a solution process below:

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

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

Next, group like terms:

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

Now, combine like terms:

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

#7xy^2 + (-10)x^2 - 6x#

#7xy^2 - 10x^2 - 6x#