x^3-6*x^2+11x-6,求具体过程.【结果为(x-1)(x-2)(x-3)】关键要步骤
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x^3-6*x^2+11x-6,求具体过程.【结果为(x-1)(x-2)(x-3)】关键要步骤
x^3-6*x^2+11x-6,求具体过程.【结果为(x-1)(x-2)(x-3)】关键要步骤
x^3-6*x^2+11x-6,求具体过程.【结果为(x-1)(x-2)(x-3)】关键要步骤
x^3-6*x^2+11x-6
=x^3-6x^2+5x+6x-6
=x(x^2-6x+5)+6(x-1)
=x(x-5)(x-1)+6(x-1)
=(x^2-5x+6)(x-1)
=(x-3)(x-2)(x-1)
x^3-6x^2+5x+6x-6=(x^3-6x^2+5x)+(6x-6)=x(x-1)(x-5)+6(x-1)=(x-1)[x(x-5)+6]=(x-1)(x^2-5x+6)
=(x-1)(x-2)(x-3)
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