分解因式x³-3x+2
3个回答
2011-02-17
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方法一
x³-3x+2
=x³-x-2x+2
=x(x+1)(x-1)-2(x-1)
=(x-1)(x²+x-2)
=(x-1)(x-1)(x+2))
=(x-1)²(x+2)
方法二
x³-3x+2
=x³-x²+x²-3x+2
=x²(x-1)+(x-1)(x-2)
=(x-1)(x²+x-2)
=(x-1)(x-1)(x+2))
=(x-1)²(x+2)
x³-3x+2
=x³-x-2x+2
=x(x+1)(x-1)-2(x-1)
=(x-1)(x²+x-2)
=(x-1)(x-1)(x+2))
=(x-1)²(x+2)
方法二
x³-3x+2
=x³-x²+x²-3x+2
=x²(x-1)+(x-1)(x-2)
=(x-1)(x²+x-2)
=(x-1)(x-1)(x+2))
=(x-1)²(x+2)
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x^3-3x+2
=x^3-x-2x+2
=x(x^2-1)-(2x-2)
=x(x+1)(x-1)-2(x-1)
=(x^2+x)(x-1)-2(x-1)
=(x^2+x-2)(x-1)
=[(x+2)(x-1)](x-1)
=(x-1)^2(x+2)
=x^3-x-2x+2
=x(x^2-1)-(2x-2)
=x(x+1)(x-1)-2(x-1)
=(x^2+x)(x-1)-2(x-1)
=(x^2+x-2)(x-1)
=[(x+2)(x-1)](x-1)
=(x-1)^2(x+2)
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展开全部
x3-3x+2
=x3-x-2x+2
=x(x+1)(x-1)-2(x-1)
=(x-1)(x^2+x-2)
=(x-1)(x-1)(x+2))
=(x-1)^2(x+2)
=x3-x-2x+2
=x(x+1)(x-1)-2(x-1)
=(x-1)(x^2+x-2)
=(x-1)(x-1)(x+2))
=(x-1)^2(x+2)
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