Como resolvería este cociente notable ?
(a4 - 1296) / (-a -6)
(a4 - 1296) / (-a -6)
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Aplicamos.
a² - b² = (a + b)(a - b)
(a⁴ - 1296) / -( a + 6)
(a²)² - 36² / - (a + 6) =
(a² - 36)(a² + 36)/ - (a + 6)
(a² - 6²)(a² + 36) / - (a + 6)
(a + 6)(a - 6)(a² + 36)/-(a +6) = Simplificamos a +6
- (a - 6)(a² + 36)
Respuesta.
- (a - 6)(a² +36)