How do you add #(7x ^ { 2} - x y - y ^ { 2} ) + ( x ^ { 2} + 12x y + 8y ^ { 2} )#?

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Answer 1 · 2016-12-05T16:34:02

#8x^2 + 11xy + 7y^2#

First, remove all the terms from parenthesis:

#7x^2 - xy - y^2 + x^2 + 12xy + 8y^2#

Next, group by like terms:

#(7x^2 + x^2) + (-xy + 12xy) + (-y^2 + 8y^2)#

Now, combine like terms:

#(7 + 1)x^2 + (-1 + 12)xy + (-1 + 8)y^2#

#8x^2 + 11xy + 7y^2#