分解因式!!!(2)

X^3-X^2-X-2
=(X^3-1)-X^2-X-1
=(X-1)(X^2+X+1)-(X^2+X+1)
=(X^2+X+1)(X-2)

3X^6-X^12-1
=X^6-(X^12-2X^6+1)
=X^6-(X^6-1)^2
=(X^3+X^6-1)(X^3-X^6+1)
=-(X^6-X^3-1)(X^6+X^3-1)

X^3-X^2-X-2
=x^3-x^2-2x+x-2
=x(x-2)(x+1)+(x-2)
=(x-2)(x^2+x+1)

3X^6-X^12-1有理数范围内无法分解

X^3-X^2-X-2
=(x - 2)(x^2 + x + 1)

3X^6-X^12-1
=(x^6 - x^3 - 1)(x^6 + x^3 - 1)

X^3-X^2-X-2
=X^3-X^2-X-1-1
=(x^3-1)-(x^2+x+1)
=(x-1)(x^2+x+1)-(x^2+x+1)
=(x^2+x+1)(x-2)

3X^6-X^12-1
=

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

3X^6-X^12-1
=-(x^6 - x^3 - 1)(x^6 + x^3 - 1)

X^3-X^2-X-2 =X^3-X^2-X-1-1 =(x^3-1)-(x^2+x+1) =(x-1)(x^2+x+1)-(x^2+x+1) =(x^2+x+1)(x-2)
第二题可以把X^6看作一个整体求 但好像没意义