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1. ${(a - 2 b)}^{3}$

Answer: Option C

Explanation:

{(a - 2 b)}^{3} = {(a)}^{3} - 3 . a^{2} . 2 b + 3 . a {(2 b)}^{2} - {(2 b)}^{3} = a^{3} - 6 a^{2} b + 12 a b^{2} - 8 b^{3} = a^{3} - 8 b^{3} - 6 a^{2} b + 12 a b^{2}

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