Question

因式分解x^3-2x^2+1

急急急 在线等

Answer 1

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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Answer 2

x^3-2x^2+1
=x^3-x^2-(x^2-x)-(x-1)
=x^2(x-1)-x(x-1)-(x-1)
=(x^2-x-1)(x-1)

满意采纳

Answer 3

（x^2-x-1)(x-1)