Math, asked by ShatakshiAS, 11 months ago

if x-1/x =1/3
evaluate: x³-1/x³​

Answers

Answered by Cynefin
2

Answer:

Hey mate, Pls refer to the attachment...

Step-by-step explanation:

Hop eit helps, U better understand clearly...

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Answered by pansumantarkm
1

Step-by-step explanation:

We know that,

 {x}^{3}   -   \frac{1}{ {x}^{3} }  = (x -  \frac{1}{x} )^{3}  + 3 \times x \times \frac{1}{x} (x -  \frac{1}{x} ) \\  \\ now \:putting \: the \: value \: of \:( x -  \frac{1}{x})  =  \frac{1}{3}  \: we \: get \\  {x}^{3}  -  \frac{1}{ {x}^{3} }  =  (\frac{1}{3})^{3}  + 3 \times  \frac{1}{3}  =  \frac{1}{27}  + 1 =  \frac{27 + 1}{27}  =  \frac{28}{27}  = 1\frac{1}{27}  \\

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