数学化简计算:(x+y)^2/xy-(x-y)^2/xy

数学化简计算:(x+y)^2/xy-(x-y)^2/xy
数学化简计算:(x+y)^2/xy-(x-y)^2/xy

数学化简计算:(x+y)^2/xy-(x-y)^2/xy
(x+y)^2/xy-(x-y)^2/xy
=【(x+y)^2-(x-y)^2】/xy
=（x²+y²+2xy-x²-y²+2xy）/xy
=4xy/xy
=4
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(x+y)²/xy-(x-y)²/xy
=[(x+y)²-(x-y)²]/xy
=(x+y+x-y)(x+y-x+y)/xy
=2x*2y/xy
=4