If x - 1x - 5- find the value of x3 - 1x3

We know that x^3 + y^3 = (x + y)^3 3xy (x + y) Put y = 1x, x^3 + 1x^3 = ( x + 1x )^3 3( x + 1x ) = (5)^3 3(5) = 125 15 = 110 ...

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Algebraic Identities

If x + 1x =...

Question

If $x + \frac{1}{x} = 5$ , find the value of $x^{3} + \frac{1}{x^{3}}$

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x = \frac{1}{5 - x}

x \neq 5

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

If $x + \frac{1}{x} = 5$ , find the value of $x^{3} + \frac{1}{x^{3}}$ .

x + \frac{1}{x} = \sqrt{3}

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

x - \frac{1}{x} = 7

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

x - \frac{1}{x} = 5

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

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