bentuk sederhana dari (x+y)²-(x-y)²/x²y-xy² adalah a.1/xy b.2/x-y c.1/x-y d.4/x-y

( x + y )² - ( x - y )²
-------------------------
x²y - xy²

= ( x² + 2xy + y² ) - ( x² - 2xy + y² )
--------------------------------------------------
xy ( x - y )

= x² - x² + 2xy + 2xy + y² - y²
------------------------------------------
xy ( x - y )

= 2xy + 2xy
------------------
xy ( x - y )

= xy ( 2 + 2 )
-------------------
xy ( x - y )

= 4
---------
x - y

Jawabannya;
(x+y)²-(x-y)²/x²y-xy²
= (x²+2xy+y²)-(x²-2xy+y²)/xy(x-y)
= x²-y²+2xy+2xy+y²-y²/xy(x-y)
= 2xy+2xy/xy(x-y)
= xy(2+2)/xy(x-y)
= 4/x-y ----- E

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