What is (x/y-2)/(y-x) ?

The solution to (x/y-2)/(y-x) is (-2y+x)/(y(y-x))

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simplify (x/y-2)/(y-x)

simplify

\frac{\frac{x}{y} - 2}{y - x}

\frac{- 2 y + x}{y ( y - x )}

Solution steps

\frac{\frac{x}{y} - 2}{y - x}

Join

\frac{x}{y} - 2 : \frac{- 2 y + x}{y}

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

Apply the fraction rule:

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

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

\frac{1 + 2 + 3 + 4 + 5}{2 + 4 + 6 + 8 + 10}

x (x - 1) = 12

(x - 4)^{2} + 4 = 36

\frac{1}{14.5} + \frac{1}{45.5} + \frac{1}{85.5}

12 > - 2 x + 2 > - 4