因式分解(x平方-x)平方-(x-1)平方

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因式分解(x平方-x)平方-(x-1)平方
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因式分解(x平方-x)平方-(x-1)平方
因式分解(x平方-x)平方-(x-1)平方

因式分解(x平方-x)平方-(x-1)平方
(x^2-x)^2-(x-1)^2
=x^2(x-1)^2-(x-1)^2
=(x-1)^2(x^2-1)
=(x-1)^2(x-1)(x+1)
=(x+1)(x-1)^3

(x²-x)²-(x-1)²
=x²(x-1)²-(x-1)²
=(x-1)²(x²-1)
=(x-1)²(x-1)(x+1)
=(x+1)(x-1)³
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(X(X-1))²-(X-1)=X²(X-1)²-(X-1)