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Question

x - \frac{1}{x} = 2

হলে

x^{3} - \frac{1}{x^{3}}

কত ?

ANSWER : 2

Descrption

দেয়া আছে, x-<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mrow><mi>x</mi><mo>&nbsp;</mo></mrow></mfrac></math>= 2&nbsp;Now,&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mfrac><mn>1</mn><msup><mi>x</mi><mn>3</mn></msup></mfrac></math>&nbsp;= (x-<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mrow><mi>x</mi><mo>&nbsp;</mo></mrow></mfrac></math>)3 + 3x.<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mi>x</mi></mfrac></math>(x-<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mrow><mi>x</mi><mo>&nbsp;</mo></mrow></mfrac></math>)&nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 23&nbsp; +&nbsp; 3×2&nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 8+6&nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 14&nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;

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