Question

If a+1/a=5, then value of a^3+1/a^3 is

Answer 1

Step-by-step explanation:

hope it will help thankyou

Answer 2

Answer:

Hey mate, Good afternoon ♡

#Here's ur answer...☆☆☆

Step-by-step explanation:

$a + \frac{1}{a} = 5 \\ = > (a + \frac{1}{a} ) {}^{2} = 25 \\ = > {a}^{2} + \frac{1}{a {}^{2} } + 2 = 25 \\ = > {a}^{2} + \frac{1}{ {a}^{2} } = 23$

${a}^{3} + \frac{1}{ {a}^{3} } = (a + \frac{1}{a} )( {a}^{2} + \frac{1}{ {a}^{2} } - 1) \\ = (5)(23 - 1) \\ = 5 \times 22 \\ = 110$

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