化简:x的三次方-3x+2

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化简:x的三次方-3x+2

原式=(x³-x)-(2x-2)
=x(x²-1)-2(x-1)
=x(x+1)(x-1)-2(x-1)
=(x-1)[x(x+1)-2]
=(x-1)(x²+x-2)
=(x-1)(x+2)(x-1)
=(x-1)²(x+2)

=x(x²-3)+2

(x²—1)(x—2)