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Factorize: 1 – 27a^3.

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Factorize:

1 – 27a3.

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1 - 27a3

= (1)3 − (3a)3  [a3 – b3 = (a – b)(a2 + ab + b2)] 

= (1 − 3a)(12 + 1 x 3a + (3a)2) 

= (1 − 3a)(1 + 3a + 9a2) 

Therefore, 1−27a3 = (1 − 3a)(1 + 3a + 9a2)

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