X3 +5X -6

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X3+5X-6X3+5X-6X3+5X-6(x^3-1)+5x-6+1=(x^3-1)+5x-5=(x^3-1)+5(x-1)=(x-1)(x^2+x+1)+5(x-1)=(x-1)(x^2+x+6)

X3 +5X -6
X3 +5X -6

X3 +5X -6
(x^3-1)+5x-6+1
=(x^3-1)+5x-5
=(x^3-1)+5(x-1)
=(x-1)(x^2+x+1)+5(x-1)
=(x-1)(x^2+x+6)

X3 +5X -6
=X3-X2+X2-X+6X-6
=(X-1)(X2+X+6)

X3 +5X -6
=8X-6
=2*4X-2*3
=2*(4X-3)

原式=x^3—x+6x—6=x(x+1)(x—1)+6(x—1)=(x—1){x(x+1)+6}.