Evaluate
3x\left(x+y-3\right)-2y\left(7+y-x\right)
Expand
3x^{2}+5xy-9x-2y^{2}-14y
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3x^{2}-9x+3xy-2y\left(y+7-x\right)
Use the distributive property to multiply 3x by x-3+y.
3x^{2}-9x+3xy-2y^{2}-14y+2yx
Use the distributive property to multiply -2y by y+7-x.
3x^{2}-9x+5xy-2y^{2}-14y
Combine 3xy and 2yx to get 5xy.
3x^{2}-9x+3xy-2y\left(y+7-x\right)
Use the distributive property to multiply 3x by x-3+y.
3x^{2}-9x+3xy-2y^{2}-14y+2yx
Use the distributive property to multiply -2y by y+7-x.
3x^{2}-9x+5xy-2y^{2}-14y
Combine 3xy and 2yx to get 5xy.
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Limits
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