What is (d-c)/(c/d-d/c) ?

The solution to (d-c)/(c/d-d/c) is -(dc)/(c+d)

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simplify (d-c)/(c/d-d/c)

simplify

\frac{d - c}{\frac{c}{d} - \frac{d}{c}}

- \frac{d c}{c + d}

Solution steps

\frac{d - c}{\frac{c}{d} - \frac{d}{c}}

Join

\frac{c}{d} - \frac{d}{c} : \frac{c ^{2} - d ^{2}}{d c}

= \frac{d - c}{\frac{c ^{2} - d ^{2}}{d c}}

Apply the fraction rule:

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

= \frac{( d - c ) d c}{c ^{2} - d ^{2}}

Cancel

\frac{( d - c ) d c}{c ^{2} - d ^{2}} : \frac{d c}{- ( c + d )}

= \frac{d c}{- ( c + d )}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{d c}{c + d}

\frac{x ^{2} + 5 x - 36}{x ^{2} - 16}

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

12 - 2 + 8 - 3

3 + \frac{3}{x + 3}

- 2^{\frac{3}{2}}