3/2x+6-1/6-2x+3/9-x^2
通分,得
=3(x-3)/(2x+6)(x-3)-(x-3)/(6-2x)(x-3)+6/2(9-x^2)
=3(x-3)/2(x+3)(x-3) + (x+3)/2(x+3)(x-3) - 6/2(x-3)(x+3)
=(3x-9+x+3-6)/2(x-3)(x+3)
=(4x-12)/2(x-3)(x+3)
=4(x-3)/2(x-3)(x+3)
=2/(x+3)
3/2x+6-1/6-2x+3/9-x^2
通分,得
=3(x-3)/(2x+6)(x-3)-(x-3)/(6-2x)(x-3)+6/2(9-x^2)
=3(x-3)/2(x+3)(x-3) + (x+3)/2(x+3)(x-3) - 6/2(x-3)(x+3)
=(3x-9+x+3-6)/2(x-3)(x+3)
=(4x-12)/2(x-3)(x+3)
=4(x-3)/2(x-3)(x+3)
=2/(x+3)