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Aplicas:
Diferencia de cuadrados.
a² - b² = (a + b)(a - b)
(n⁴ - 81 m⁴) (n²)² - 9²(m²)² (n² + 9m²)(n² - 9m²)
------------------ = ----------------------------- = ------------------------------------- =
(n + 3m) (n + 3m) (n + 3m)
(n² + 9m²)(n + 3m)(n - 3m)
----------------------------------------- = Simplificamos (n + 3m)
(n + 3m)
(n² + 9m²)((n - 3m)
Respuesta.
(n² + 9m²)(n - 3m)