How do you combine like terms in #(x ^ { 2} + 5x y - y ^ { 2} ) + ( 2x ^ { 2} - 4x y + 11y ^ { 2} )#?

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Answer 1 · 2017-03-27T14:34:47

See the entire 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 - y^2 + 2x^2 - 4xy + 11y^2#

Next, group like terms:

#x^2 + 2x^2 + 5xy - 4xy - y^2 + 11y^2#

Now, combine like terms:

#1x^2 + 2x^2 + 5xy - 4xy - 1y^2 + 11y^2#

#(1 + 2)x^2 + (5 - 4)xy + (-1 + 11)y^2#

#3x^2 + 1xy + 10y^2#

#3x^2 + xy + 10y^2#