解4/(x²-16)+2/(x+4)-2/(x-4)=4/(x-4)(x+4)+2(x-4)/(x-4)(x+4)-2(x+4)/(x+4)(x-4)=4/(x-4)(x+4)+(2x-8)/(x-4)(x+4)-(2x+8)/(x+4)(x-4)=(4+2x-8-2x-8)/(x-4)(x+4)=-12/(x²-16)