(3x-y+1)(2x+y-1)={3x-(y-1)}(2x+y-1)と変形し、y-1をAと置く。
(3x-A)(2x+A)=6x^2+xA-A^2
=6x^2+x(y-1)-(y-1)^2
=6x^2+xy-x-(y^2-2y+1)
=6x^2+xy-x-y^2+2y-1
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