What is (\frac{8r+8s)/(r^2)}{(r^2-s^2)/(8r)} ?

The solution to (\frac{8r+8s)/(r^2)}{(r^2-s^2)/(8r)} is (64)/(r(r-s))

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simplify (\frac{8r+8s)/(r^2)}{(r^2-s^2)/(8r)}

simplify

\frac{\frac{8 r + 8 s}{r ^{2}}}{\frac{r ^{2} - s ^{2}}{8 r}}

\frac{64}{r ( r - s )}

Solution steps

\frac{\frac{8 r + 8 s}{r ^{2}}}{\frac{r ^{2} - s ^{2}}{8 r}}

Apply the fraction rule:

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

= \frac{( 8 r + 8 s ) \cdot 8 r}{r ^{2} ( r ^{2} - s ^{2} )}

Cancel

\frac{( 8 r + 8 s ) \cdot 8 r}{r ^{2} ( r ^{2} - s ^{2} )} : \frac{64}{r ( r - s )}

= \frac{64}{r ( r - s )}

(x y^{2} - 3 x^{2} - y^{2} + x^{2} y) + (x^{2} y + 5 x^{2}) + (3 x y^{2} - y^{2} - 5 x^{2})

\frac{- 8}{1}

\frac{6}{7} \div 4

(y - (- 2))^{2}

\frac{2}{5} + \frac{5}{8}

What is (\frac{8r+8s)/(r^2)}{(r^2-s^2)/(8r)} ?
The solution to (\frac{8r+8s)/(r^2)}{(r^2-s^2)/(8r)} is (64)/(r(r-s))