因式分解:x四次方-2x²+x²y-y+1

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因式分解:x四次方-2x²+x²y-y+1因式分解:x四次方-2x²+x²y-y+1因式分解:x四次方-2x²+x²y-y+1a²

因式分解:x四次方-2x²+x²y-y+1
因式分解:x四次方-2x²+x²y-y+1

因式分解:x四次方-2x²+x²y-y+1
a²(a+1)-b²(b+1)
原式=a³+a-b³-b
=﹙a³-b³﹚+﹙a-b﹚
=﹙a-b﹚﹙a²+ab+b²﹚+﹙a-b﹚
=﹙a²+ab+b²+1﹚﹙a-b﹚
x^4-2x²+x²y-y+1
原式=﹙x^4-2x²+1﹚﹙x²y-y﹚
=﹙x²-1﹚²-y﹙x²-1﹚
=﹙x²+y-1﹚﹙x²-1﹚
=﹙x²+y-1﹚﹙x+1﹚﹙x-1﹚
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