If x-1 - x-2 Then find the value of x10-1 - x10

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Expansion of (x+y)^2

If x+1 / x=2 ...

Question

If x+1/x=2

Then find the value of x¹⁰+ 1/x¹⁰

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2 cos α = x + \frac{1}{x}, 2 cos β = y + \frac{1}{y}

\frac{x^{10}}{y^{12}} - \frac{y^{12}}{x^{10}} =

y = \frac{1}{x^{10}} = x^{- 10}

\frac{d y}{d x}

\frac{x}{1 - x^{2}} - \frac{x^{3}}{1 - x^{6}} + \frac{x^{5}}{1 - x^{10}} - . . . . . . . = \frac{x}{1 + x^{2}} + \frac{x^{3}}{1 + x^{6}} + \frac{x^{5}}{1 + x^{10}} + . . . . .

\int \frac{d x}{\sqrt{x^{10} - x^{2}}}, x > 1 =

+ C

x

(1552)_{8} = (x)_{10}

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