Evaluate
y\left(3x-4y\right)
Expand
3xy-4y^{2}
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4x^{2}-x^{2}+xy-3y^{2}+2xy-\left(3x^{2}+y^{2}\right)
To find the opposite of x^{2}-xy, find the opposite of each term.
3x^{2}+xy-3y^{2}+2xy-\left(3x^{2}+y^{2}\right)
Combine 4x^{2} and -x^{2} to get 3x^{2}.
3x^{2}+3xy-3y^{2}-\left(3x^{2}+y^{2}\right)
Combine xy and 2xy to get 3xy.
3x^{2}+3xy-3y^{2}-3x^{2}-y^{2}
To find the opposite of 3x^{2}+y^{2}, find the opposite of each term.
3xy-3y^{2}-y^{2}
Combine 3x^{2} and -3x^{2} to get 0.
3xy-4y^{2}
Combine -3y^{2} and -y^{2} to get -4y^{2}.
4x^{2}-x^{2}+xy-3y^{2}+2xy-\left(3x^{2}+y^{2}\right)
To find the opposite of x^{2}-xy, find the opposite of each term.
3x^{2}+xy-3y^{2}+2xy-\left(3x^{2}+y^{2}\right)
Combine 4x^{2} and -x^{2} to get 3x^{2}.
3x^{2}+3xy-3y^{2}-\left(3x^{2}+y^{2}\right)
Combine xy and 2xy to get 3xy.
3x^{2}+3xy-3y^{2}-3x^{2}-y^{2}
To find the opposite of 3x^{2}+y^{2}, find the opposite of each term.
3xy-3y^{2}-y^{2}
Combine 3x^{2} and -3x^{2} to get 0.
3xy-4y^{2}
Combine -3y^{2} and -y^{2} to get -4y^{2}.
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Limits
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