因式分解x^3+2xy-x-xy^2=

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因式分解x^3+2xy-x-xy^2=
因式分解x^3+2xy-x-xy^2=

因式分解x^3+2xy-x-xy^2=
x³+2xy-x-xy²
=x(x²+2y-1-y²)
=x[x²-(y²-2y+1)]
=x[x²-(y-1)²]
=x[x-(y-1)][x+(y-1)]
=x(x-y+1)(x+y-1)

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

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