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Factorise : a^6 – 26a^3 – 27

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Factorise : a6  – 26a3  – 27

(a) (a - 3)(a + 1)(a2 + a + 1)(a2 + 3a + 9)

(b) (a - 3)(a - 1)(a2 + a + 1)(a2 + 3a + 9)

(c) (a - 3)(a + 1)(a2 + 3a + 9)(a2 - a + 1)

(d) (a + 3)(a 1 1)(a2 + 3a + 9)(a2 + a + 1)

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(c) (a - 3)(a2 + 3a + 9)(a + 1)(a2 - a + 1)

a6 - 26a3 - 27

= a6 - 27 a3 + a3 - 27

 = a3 (a3 - 24) + 1(a3 - 27)

=(a3 - 27)(a3 + 1)

= (a - 3)(a2 + 3a + 9)(a + 1)(a2 - a + 1)

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