因式分解x2+y-xy-x

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因式分解x2+y-xy-x
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因式分解x2+y-xy-x
因式分解x2+y-xy-x

因式分解x2+y-xy-x
x²＋y－xy－x＝﹙x²－xy﹚＋﹙y－x﹚
＝x﹙x－y﹚－﹙x－y﹚
＝﹙x－y﹚﹙x－1﹚

x²+y-xy-x =x²-xy-x+y=x(x-y)-(x-y)=(x-1)(x-y)

x2+y-xy-x
=x(x-y)-(x-y)
=(x-y)(x-1)

x(x-1)+y(1-x)
(x-y)(x-1)

原式=x(x-1)+y(x-1)=(x-1)(x-y)

(x-1)(x-y)

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