整数指幂的运算：（1）(x^2+2xy+y^2/x^2-y^2)^-2 (2) (x^2-4y^2/(x^2-2xy)+x-2y)^-1
问题描述：
整数指幂的运算：（1）(x^2+2xy+y^2/x^2-y^2)^-2 (2) (x^2-4y^2/(x^2-2xy)+x-2y)^-1
答
(1). 原式=[(x+y)^2/(x+y)(x-y)]^-2 =[(x+y)/(x-y)]^-2 =(x-y)^2/(x+y)^2(2).原式={(x+2y)(x-2y)/[x(x-2y)+(x-2y)]}^-1 =[(x+2y)(x-2y)/(x+1)(x-2y)]^-1 =[(x+2y)/...