How do you combine like terms in #(x ^ { 2} + 5x y + 8y ^ { 2} ) - ( - 11x ^ { 2} + 19x y + y ^ { 2} )#?

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Answer 1 · 2017-05-14T04:03:05

See a solution process below:

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

#x^2 + 5xy + 8y^2 + 11x^2 - 19xy - y^2#

Next, group like terms:

#x^2 + 11x^2 + 5xy - 19xy + 8y^2 - y^2#

Now, combine like terms:

#1x^2 + 11x^2 + 5xy - 19xy + 8y^2 - 1y^2#

#(1 + 11)x^2 + (5 - 19)xy + (8 - 1)y^2#

#12x^2 + (-14)xy + 7y^2#

#12x^2 - 14xy + 7y^2#