How do you combine like terms in #(x ^ { 2} + 9x y - y ^ { 2} ) + ( 4x ^ { 2} - 6x y + 155y ^ { 2} )#?

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Answer 1 · 2017-06-18T20:04:16

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 + 9xy - y^2 + 4x^2 - 6xy + 155y^2#

Next, group like terms:

#x^2 + 4x^2 + 9xy - 6xy - y^2 + 155y^2#

Now, combine like terms:

#1x^2 + 4x^2 + 9xy - 6xy - 1y^2 + 155y^2#

#(1 + 4)x^2 + (9 - 6)xy + (-1 + 155)y^2#

#5x^2 + 3xy + 154y^2#