【数学分式计算,要过程】【(x-2)分之x-(x+2)分之x】÷(2-x)分之4x

数学分式计算,要过程】
【(x-2)分之x-(x+2)分之x】÷(2-x)分之4x
1-(a+2b)分之(a-b)÷(a²+4ab+4b²)分之(a²-b²)
(x²y+xy²)分之(x²+2xy+y²)-(x²y-xy²)分之(x²-2xy+y²)
1、x(x+2-x+2)/(x-2)(x+2)×[-(x-2)/4x]
=-4x/(x-2)(x+2)×(x-2)/4x
=-1/(x+2)

2、1-(a+2b)分之信敏毁(a-b)÷(a²+4ab+4b²)分之(a²-b²)
=1-(a-b)/(a+2b)×(a+2b)²/(a+b)(a-b)
=1-(a+2b)/(a+b)
=(a+b-a-2b)/(a+b)
=-b/拿简(a+b)

3、(x+y)²/xy(x+y)-(x-y)²/滑备xy(x-y)
=(x+y)/xy-(x-y)/xy
=2y/xy
=2/x