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İf x-1/x=3,then find the value of …

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İf x-1/x=3,then find the value of x³-1/x³.
  • 1 answers

Amar Kumar 8 years, 5 months ago

{tex}\eqalign{ & {x^3} - {\left( {{1 \over x}} \right)^3} = {\left( {x - {1 \over x}} \right)^3} + 3x \times {1 \over x}\left( {x - {1 \over x}} \right) \cr & = {3^3} + 3(3) \cr & = 27 - 9 \cr & = 18 \cr & \cr} {/tex}

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