(3x+2y)^2-9(x-y)^2(18x^2-12xy+2y^2)/(3x-y)

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(3x+2y)^2-9(x-y)^2(18x^2-12xy+2y^2)/(3x-y)(3x+2y)^2-9(x-y)^2(18x^2-12xy+2y^2)/(3x-y)(3x+2y)^2-9(x-y)

(3x+2y)^2-9(x-y)^2(18x^2-12xy+2y^2)/(3x-y)
(3x+2y)^2-9(x-y)^2
(18x^2-12xy+2y^2)/(3x-y)

(3x+2y)^2-9(x-y)^2(18x^2-12xy+2y^2)/(3x-y)
(3x+2y)^2-9(x-y)^2
=(3x+2y+3x-3y)(3x+2y-3x+3y)
=5y(6x-y)
(18x^2-12xy+2y^2)/(3x-y)
=2(9x²-6xy+y²)/(3x-y)
=2(3x-y)²/(3x-y)
=2(3x-y)
=6x-2y