X^2-y^2+2y-1 (因式分解)

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X^2-y^2+2y-1 (因式分解)
X^2-y^2+2y-1 (因式分解)

X^2-y^2+2y-1 (因式分解)
x²-y²+2y-1
=x²-(y²-2y+1)
=x²-(y-1)²
=[x+(y-1)][x-(y-1)]
=(x+y-1)(x-y+1)

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

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