x 2xy x 2x
(------- - ----------- + ---------) : (---------) =
x - y x² - y² x + y x + y
x(x + y) - 2xy + x(x - y) 2x(x - y)
------------------------------ : ----------------- =
(x + y)(x - y) (x + y)(x - y)
x² + xy - 2xy + x² - xy 2x² - 2xy
---------------------------- : ------------------ =
2x² - 2xy (x + y)(x - y)
----------------- * -------------------- = 1
(x + y)(x - y) 2x² - 2xy
c.n.d.
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x 2xy x 2x
(------- - ----------- + ---------) : (---------) =
x - y x² - y² x + y x + y
x(x + y) - 2xy + x(x - y) 2x(x - y)
------------------------------ : ----------------- =
(x + y)(x - y) (x + y)(x - y)
x² + xy - 2xy + x² - xy 2x² - 2xy
---------------------------- : ------------------ =
(x + y)(x - y) (x + y)(x - y)
2x² - 2xy (x + y)(x - y)
----------------- * -------------------- = 1
(x + y)(x - y) 2x² - 2xy
c.n.d.