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

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

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

simplify

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

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

Solution steps

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

Apply the fraction rule:

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

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

Simplify

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

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

4 m 5^{2} - 20 am

- 6 \times (- 6)

\frac{x ^{2} + 6 x - 7}{x ^{3} - x ^{2}}

y^{13}

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