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

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

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simplify x/(x-y)+y/(x+y)

simplify

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

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

Solution steps

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

Least Common Multiplier of

x - y, x + y : (x - y) (x + y)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x (x + y) + y (x - y) : x^{2} + 2 x y - y^{2}

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

27 x^{3} + 64

\frac{( x 2 )}{2} = 1500 - x

\frac{2}{9} \cdot (- \frac{3}{7}) \cdot (\frac{14}{5})

(2 a^{3} a^{2})^{4}

What is x/(x-y)+y/(x+y) ?
The solution to x/(x-y)+y/(x+y) is (x^2+2xy-y^2)/((x-y)(x+y))