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因式分解x^3-2x^2+1
人气:487 ℃ 时间:2020-02-05 16:21:32
解答
x^3-2x^2+1
=x³-x²-x²+1
=x²(x-1)-(x-1)(x+1)
=(x-1)(x²-x-1)
或者继续分解
x^3-2x^2+1
=x³-1-2x²+2
=(x-1)(x²+x+1)-2(x+1)(x-1)
=(x-1)[(x²+x+1)-2(x+1)]
=(x-1)(x²-x-1)
=(x-1)[x-(1+√5)/2][x-(1-√5)/2]
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