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Mathematics

a3 - 8 in the form of factors is :

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

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

  3. (a - 2)(a2 + 2a - 4)

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

Factorisation

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Answer

Given,

   a3 - 8

= (a)3 - (2)3

= (a - 2)[(a)2 + 2 × a + (2)2]

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

Hence, Option 2 is the correct option.

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