4x^2-12xy+9y^2-8x+12y-12

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4x^2-12xy+9y^2-8x+12y-12
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4x^2-12xy+9y^2-8x+12y-12
4x^2-12xy+9y^2-8x+12y-12

4x^2-12xy+9y^2-8x+12y-12
4x^2-12xy+9y^2-8x+12y-12
=4x^2-12xy+9y^2-4(2x-3y)-12
=(2x-3y)^2-4(2x-3y)-12
=(2x-3y+2)(2x-3y-6)