`9)`
`(1-3x)/(x+2)+2/(x-2)-(2+3x)/(x^2-4)`
`=((x-2)(1-3x))/((x-2)(x+2))+(2(x+2))/((x-2)(x+2))-(2+3x)/((x-2)(x+2))`
`=(x-3x^2-2+6x+2x+4-2-3x)/((x-2)(x+2))`
`=(-3x^2+6x)/((x-2)(x+2))`
`=(-3x(x-2))/((x-2)(x+2))`
`=(-3x)/(x+2)`
`10)`
`x/(x+1)-1/(x-1)-(2x)/(1-x^2)`
`=x/(x+1)-1/(x-1)+(2x)/(x^2-1)`
`=(x(x-1))/((x+1)(x-1))-(1(x+1))/((x+1)(x-1))+(2x)/((x+1)(x-1))`
`=(x^2-x-x-1+2x)/((x+1)(x-1))`
`=(x^2-1)/(x^2-1)`
`=1`