Evaluate
3x^{2}-3xy-y^{2}-2
Expand
3x^{2}-3xy-y^{2}-2
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2x^{2}-\left(xy+2-x^{2}+2xy-y^{2}+2y^{2}\right)
To find the opposite of x^{2}-2xy+y^{2}, find the opposite of each term.
2x^{2}-\left(3xy+2-x^{2}-y^{2}+2y^{2}\right)
Combine xy and 2xy to get 3xy.
2x^{2}-\left(3xy+2-x^{2}+y^{2}\right)
Combine -y^{2} and 2y^{2} to get y^{2}.
2x^{2}-3xy-2+x^{2}-y^{2}
To find the opposite of 3xy+2-x^{2}+y^{2}, find the opposite of each term.
3x^{2}-3xy-2-y^{2}
Combine 2x^{2} and x^{2} to get 3x^{2}.
2x^{2}-\left(xy+2-x^{2}+2xy-y^{2}+2y^{2}\right)
To find the opposite of x^{2}-2xy+y^{2}, find the opposite of each term.
2x^{2}-\left(3xy+2-x^{2}-y^{2}+2y^{2}\right)
Combine xy and 2xy to get 3xy.
2x^{2}-\left(3xy+2-x^{2}+y^{2}\right)
Combine -y^{2} and 2y^{2} to get y^{2}.
2x^{2}-3xy-2+x^{2}-y^{2}
To find the opposite of 3xy+2-x^{2}+y^{2}, find the opposite of each term.
3x^{2}-3xy-2-y^{2}
Combine 2x^{2} and x^{2} to get 3x^{2}.
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