Como determinar el termino general de un cociente notable

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.Son cocientes cuya forma general es: • ; n  z+ • El desarrollo de estos cocientes se pueden efectuar directamente sin aplicar los criterios generales de la división algebraica • Todo cociente notable debe satisfacer los siguientes principios: • 1º El resto de la división debe ser igual a cero. • 2º Las bases deben ser iguales • 3º Los exponentes deben ser iguales. • Nota.- CoNo = Cociente Notable • • n : Puede ser par o impar; siempre será Co no ya que su resto es cero. El desarrollo obtenido por la regla de Ruffini es: • • Ejemplo: • = a3 + a2 b + ab2 + b3 • Segundo caso: • n : En este caso debe ser impar necesariamente; para que el resto sea cero y el cociente sea notable. • El desarrollo obtenido por la regla de Ruffini es: • Ejemplo: • = a4 – a3 b + a2 b2 – ab3 + b4 • Tercer caso: • n : Para este caso debe ser un número par necesariamente, lo cual nos da un resto cero y por consiguiente el cociente es notable. • El desarrollo obtenido por la regla de Ruffini es: • • Ejemplo: • = a3 – a2b + ab2 – b3 • Cuarto caso: • n : Ya sea par o impar, el resto no será cero, por consiguiente este tipo de cociente nunca será cociente notable. • Respecto al CoNo cuya forma general 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