将分式1/x-2,2/3x-6,3/x³-4x通分后,它们分别是_________________________________

1/(x-2)=1/(x-2)
2/(3x-6)=2/[3(x-2)]
3/(x³-4x)=3/[x(x²-4)]=3/[x(x+2)(x-2)]
公分母是3x(x+2)(x-2)

1/(x-2)=3x(x+2)/[3x(x²-4)]=(3x²+6x)/(3x³-12x)
2/(3x-6)=2x(x+2)/[3x(x²-4)]=(2x²+4x)/(3x³-12x)
3/(x³-4x)=9/[x(x²-4)]=9/(3x³-12x)

将分式1/x-2， 2/3x-6， 3/x³-4x通分后，它们分别是
((3x²+6x)/(3x³-12x)；(2x²+4x)/(3x³-12x) ；9/(3x³-12x) ) 。

1/x-2
2/3(x-3)
3/x(x-2)(x+2)
所以通分后为3x(x+2)(x-3)/3x(x+2)(x-2)(x-3)
2x(x-2)(x+2)(x-3)/3x(x-3)(x-2)(x+2)
9x(x-3)/3x(x-2)(x+2)(x-3)