急!X的立方-3X+2怎么因式分解?

问题描述:

急!X的立方-3X+2怎么因式分解?

x³-3x+2
=x³-x²+x²-3x+2
=x²(x-1)+(x-1)(x-2)
=(x-1)(x²+x-2)
=(x-1)²(x+2)

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

原式=x³-x-2x+2
=x(x²-1)-2(x-1)
=x(x+1)(x-1)-2(x-1)
=(x²+x)(x-1)-2(x-1)
=(x-1)(x²+x-2)
=(x-1)(x+2)(x-1)
=(x-1)²(x+2)

问你老师是不是是两次方啊!!!!!!别给耍了