化简[(x的平方-4)/(x的平方-4X+4)+(2-X)/(X+2)]÷x/(x-2) 的结果是?

问题描述:

化简[(x的平方-4)/(x的平方-4X+4)+(2-X)/(X+2)]÷x/(x-2) 的结果是?

[(x的平方-4)/(x的平方-4X+4)+(2-X)/(X+2)]÷x/(x-2)= [(x+2)(x-2)/(x-2)^2 -(x-2)/(x+2)] × (x-2)/x= [(x+2)/(x-2) -(x-2)/(x+2)] × (x-2)/x= [(x+2)^2 -(x-2)^2] / [(x+2)(x-2)] × (x-2)/x= 8x / [(x+2)(...