原式=(3x+2)/(x-2)(x+1)+(x+1-1)/(x+1)÷(x-1+1)/(x-1)
=(3x+2)/(x-2)(x+1)+x/(x+1)÷x/(x-1)
=(3x+2)/(x-2)(x+1)+(x-1)/(x+1)
=(3x+2+x²-3x+2)/(x+1)(x-2)
=(x²+4)/(x+1)(x-2)
=(9+4)/(4×1)
=13/4
原式=(3x+2)/(x-2)(x+1)+(x+1-1)/(x+1)÷(x-1+1)/(x-1)
=(3x+2)/(x-2)(x+1)+x/(x+1)÷x/(x-1)
=(3x+2)/(x-2)(x+1)+(x-1)/(x+1)
=(3x+2+x²-3x+2)/(x+1)(x-2)
=(x²+4)/(x+1)(x-2)
=(9+4)/(4×1)
=13/4