According to question, (3a 1a)^3 #160; (3a)^3 (1a)^3 3.(3a)^2.1a+3.3a.(1a)^2 #160; 27a^3 127a^3 27a+9a ...

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Question

Expand ${(3 a - \frac{1}{a})}^{3}$

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Solution

According to question,

$(3 a - \frac{1}{a})^{3}$

$⟹ (3 a)^{3} - (\frac{1}{a})^{3} - 3. (3 a)^{2} . \frac{1}{a} + 3.3 a . (\frac{1}{a})^{2}$

$⟹ 27 a^{3} - \frac{1}{27 a^{3}} - 27 a + \frac{9}{a}$

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