What is r/(r+s)+s/(r-s) ?

The solution to r/(r+s)+s/(r-s) is (r^2+s^2)/((r+s)(r-s))

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simplify r/(r+s)+s/(r-s)

simplify

\frac{r}{r + s} + \frac{s}{r - s}

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

Solution steps

\frac{r}{r + s} + \frac{s}{r - s}

Least Common Multiplier of

r + s, r - s : (r + s) (r - s)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

r (r - s) + s (r + s) : r^{2} + s^{2}

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

(s + 1)^{4}

8 x - \frac{π}{90}

\frac{125}{12}

- 1 + 12

- 12 - 9

What is r/(r+s)+s/(r-s) ?
The solution to r/(r+s)+s/(r-s) is (r^2+s^2)/((r+s)(r-s))