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By Grouping

Factorise: 8-...

Question

Factorise:
$8 - 4 a - 2 a^{3} + a^{4}$

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Solution

8 – 4a – 2a³ + a4

8 – 4a – 2a³ + a4

= 4(2 – a) – a³ (2 – a)

= (2 – a) (4 – a³)

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