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Simplify:
$8 a^{3} + 36 a^{2} b + 54 a b^{2} + 27 b^{3} =$

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

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

${(2 a + 3 b)}^{3}$

${(2 a + 3 b)}^{2}$

answer is A.

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Detailed Solution

Using ( a + b)³ = a³ + b³ + 3a²b + 3ab²

8a³ + 36a²b + 54ab² + 27b³ = (2a + 3b)³

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