(x-2)(y-3) + (x+y)(x-3y) - (y-3x)(4x-5y)
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Answer:
[xy-3x-2y+6]+[x2-3yx+xy-3y2]-4yx+3x[4x-5y]
xy+xy-3x-2y+6-3yx-3y2+x2-16x2y-15yx
2xy-3x-2y+6-18yx-3y2+x2-16x2y
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=x(y-3)-2(y-3) + x(x-3y)+y(x-3y) - y(4x-5y)-3x(4x-5y)
=xy-3x-2y+6 + x^2-3xy+xy-3y^2 - 4xy +5y^2-12x^2+15xy
=xy+xy-4xy +x^2-12x^2-3y^2+5y^2-3xy+15xy -3x -2y +6
=-2xy -11x^2 + 2y^2 +12xy -3x -2y + 6
=-3x - 11x^2 -2y +2y^2 + 12xy - 2xy + 6
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