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x² - 2x + 1 ------> Factorizas trinomio al cuadrado perfecto
-------------- =
x² - 1 --------> Diferancia de cuadrados
(x - 1)²
---------------- =
(x + 1)(x - 1)
(x - 1)(x - 1)
----------------- = Simplificas (x - 1)
(x + 1)(x - 1)
x- 1
----
x + 1
Respuesta.
x - 1
-----
x + 1