If a≠0 and a-1/a=3 find:1. a³-1/a³

1.	If a≠0 and a-1/a=3 find:1. a³-1/a³
Answer» Step-by-step EXPLANATION: $a - \frac{1}{a} = 3 \\ {a}^{3 } - \frac{1}{ {a}^{3} } \\ = (a - \frac{1}{a} )( {a}^{2} + a \times \frac{1}{a} + \frac{1}{ {a}^{2} } ) \\ = 3 \times {(a - \frac{1}{a} )}^{2} + 2 \times a \times \frac{1}{a} + a \times \frac{1}{a} \\ = 3( {3}^{2} + 2 + 1) \\ = 3 \times 12 \\ = 36 \: ans.$

Answer»

Step-by-step EXPLANATION:

$a - \frac{1}{a} = 3 \\ {a}^{3 } - \frac{1}{ {a}^{3} } \\ = (a - \frac{1}{a} )( {a}^{2} + a \times \frac{1}{a} + \frac{1}{ {a}^{2} } ) \\ = 3 \times {(a - \frac{1}{a} )}^{2} + 2 \times a \times \frac{1}{a} + a \times \frac{1}{a} \\ = 3( {3}^{2} + 2 + 1) \\ = 3 \times 12 \\ = 36 \: ans.$

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If a≠0 and a-1/a=3 find:1. a³-1/a³​

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If a≠0 and a-1/a=3 find:1. a³-1/a³