x^5-x^3-8x+8

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x^5-x^3-8x+8x^5-x^3-8x+8x^5-x^3-8x+8原式=x²(x²-1)-8(x-1)=x³(x-1)(x+1)-8(x-1)=(x-1)(x^4-

x^5-x^3-8x+8
x^5-x^3-8x+8

x^5-x^3-8x+8
原式=x²(x²-1)-8(x-1)
=x³(x-1)(x+1)-8(x-1)
=(x-1)(x^4-x³-8)
=(x-1)[(x^4-16)-(x³-8)]
=(x-1)(x²+4)(x+2)(x-2)-(x-2)(x²+2x+4)]
=(x-1)(x-2)(x³+x²+2x+4)

~!

x^5-x^3-8x+8
=x^3(x^2-1)-8(x-1)
=x^3(x-1)(x+1)-8(x-1)
=(x-1)[x^3-8]
=(x-1)(x-2)(x^2+2x+4)

原式
=x^3(x^2-1)-8(x-1)
=x^3(x+1)(x-1)-8(x-1)
=(x-1)(x^3(x+1)-8)
=(x-1)(x^4+x^3-8)
=(x-1)(x^4-16+x^3+8)
=(x-1)((x^2+4)(x^2-4)+(x+2)(x^2-2x+4))
=(x-1)((x^2+4)(x+2)(x-2)+(x+2)(x^2-2x+4))
=(x-1)(x+2)(x^3-2x^2+4x-8+x^2-2x+4)
=(x-1)(x+2)(x^3-x^2+2x-4)

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