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Factorise : a^6 – 7a^3 – 8

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Factorise : \(a^6  – 7a^3  – 8\)

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(a3)2 - 7a3 - 8 = (a3)2 - 8a3 + a3 - 8

= a3(a3 - 8) + 1(a3 - 8) = (a3 + 1)

= (a - 2)(a2 + 2a +4)(a + 1)(a2 -a + 1).

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