因式分解x^3-7x+6

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因式分解x^3-7x+6
因式分解x^3-7x+6

因式分解x^3-7x+6
x^3-7x+6
=x³-x-6x+6
=x(x²-1)-6(x-1)
=x(x-1)(x+1)-6(x-1)
=(x-1)(x²+x-6)
=(x-1)(x-2)(x+3)

x^3-7x+6
=x^3-x-6x+6
=x^3-x-6(x-1)
=x(x-1)(x+1)-6(x-1)
=(x-1)(x^2+x-6)
=(x-1)(x-2)(x+3)

x^3-7x+6
=(x^3-1)-7(x-1)
=(x-1)(x^2+x+1)-7(x-1)
=(x-1)(x^2+x-6)
=(x-1)(x-2)(x+3)