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If x-1/x=3+2sqrt(2) , find the value of ...

If `x-1/x=3+2sqrt(2)` , find the value of `x^3-\ 1/(x^3)`

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To find the value of \( x^3 - \frac{1}{x^3} \) given that \( x - \frac{1}{x} = 3 + 2\sqrt{2} \), we can follow these steps: ### Step 1: Cube the given expression We start with the equation: \[ x - \frac{1}{x} = 3 + 2\sqrt{2} \] Now, we cube both sides: ...
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