What is (x+x^{-1})/(x^{-1)-y} ?

The solution to (x+x^{-1})/(x^{-1)-y} is (x^2+1)/(-yx+1)

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simplify (x+x^{-1})/(x^{-1)-y}

simplify

\frac{x + x ^{- 1}}{x ^{- 1} - y}

\frac{x ^{2} + 1}{- y x + 1}

Solution steps

\frac{x + x ^{- 1}}{x ^{- 1} - y}

Simplify

x + x^{- 1} : \frac{x ^{2} + 1}{x}

= \frac{\frac{x ^{2} + 1}{x}}{x ^{- 1} - y}

Simplify

x^{- 1} - y : \frac{- y x + 1}{x}

= \frac{\frac{x ^{2} + 1}{x}}{\frac{- y x + 1}{x}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{( x ^{2} + 1 ) x}{x ( - y x + 1 )}

Cancel the common factor:

x

= \frac{x ^{2} + 1}{- y x + 1}

3 v + 5 > 20

\frac{2 x - 1}{x - 3} \geq 1

m^{2} + 3 m - 10

6 b^{2} + 4 = - 56

45 x^{2} - 20 m^{2}

What is (x+x^{-1})/(x^{-1)-y} ?
The solution to (x+x^{-1})/(x^{-1)-y} is (x^2+1)/(-yx+1)