What is x/(x+2)+(x-2)/x ?

The solution to x/(x+2)+(x-2)/x is (2x^2-4)/(x(x+2))

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simplify x/(x+2)+(x-2)/x

simplify

\frac{x}{x + 2} + \frac{x - 2}{x}

\frac{2 x ^{2} - 4}{x ( x + 2 )}

Solution steps

\frac{x}{x + 2} + \frac{x - 2}{x}

Least Common Multiplier of

x + 2, x : x (x + 2)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x^{2} + (x - 2) (x + 2) : 2 x^{2} - 4

= \frac{2 x ^{2} - 4}{x ( x + 2 )}

2 x x^{2}

(x + 9) (x + 7)

- 12 - (- 6)

\frac{d ^{- 13}}{d ^{- 2}}

\frac{14}{7 - 5}