化简：(x-y)乘以根号下x-y/x+y减去(x+y)根号下x+y/x-y (x>y>0)
问题描述：
化简：(x-y)乘以根号下x-y/x+y减去(x+y)根号下x+y/x-y (x>y>0)
答
∵x>y>0 ∴x-y＞0∴根号(x-y)^2=x-6∴(x-y)根号{ (x-y)/(x+y) } - (x+y)根号{ (x+y)/(x-y) }= (x-y)根号{ (x^2-y^2)/(x+y)^2 } - (x+y)根号{ (x^2-y^2)/(x-y)^2 }= (x-y)/(x+y) 根号 (x^2-y^2) - (x+y)/(x-y) 根号 (...