化简x^2-y^2+2y-1

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化简x^2-y^2+2y-1

x^2-y^2+2y-1
=x^2-(y^2-2y+1)
=x^2-(y-1)^2
=[x+(y-1)][x-(y-1)]
=(x+y-1)(x-y+1)

原式=x²-(y²-2y+1)
=x²-(y-1)²
=(x+y-1)(x-y+1)

=x^2-(y-1)^2=(x-y+1)(x+y-1)