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Factorise : y^16 - 63y^8 - 64

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Factorise : y16 - 63y8 - 64

(a) (y8 - 1)(y4 + 8)(y4 - 8)

(b) (y4 + 8)2 (y8 + 1)

(c) (y4 - 8)2 (y8 - 1)

(d) (y4 + 8) (y4 – 8) (y8 + 1)

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(d) (y4 - 8)(y4 + 8)(y8 + 1)

y16 - 63y8 - 64

= y16 - 64y8 + y8 - 64

= y8 (y8 - 64) + 1(y8 - 64)

= (y8 - 64)(y8 + 1)

= (y4 - 8)(y4 + 8)(y8 + 1)

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