If x- 1 - x -3 then find the value of x 3 - 1 - x 3-

Given x+1x=3 cubing on both sides (x+1x)^3=3^3 x^3+3(x^2)(1x)+3(x)(1x)^2+(1x)^3=27 x^3+3(x+1x)+1x^3=27 x^3+1x^3=27 3(3)=27 9=18 ...

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Algebraic Identities

If x+ 1 / x...

Question

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

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

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

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

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

If $(x + \frac{1}{x}) = 4$ , find the value of

(1) $(x^{3} + \frac{1}{x^{3}})$

(2) $(x - \frac{1}{x})$

(3) $(x^{3} - \frac{1}{x^{3}})$

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

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

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

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

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