因式分解x²-y²+2y-1

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因式分解x²-y²+2y-1

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

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

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