What is x/(x-1)-x/(x+1) ?

The solution to x/(x-1)-x/(x+1) is (2x)/((x-1)(x+1))

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Popular >

simplify x/(x-1)-x/(x+1)

simplify

\frac{x}{x - 1} - \frac{x}{x + 1}

\frac{2 x}{( x - 1 ) ( x + 1 )}

Solution steps

\frac{x}{x - 1} - \frac{x}{x + 1}

Least Common Multiplier of

x - 1, x + 1 : (x - 1) (x + 1)

Adjust Fractions based on the LCM

= \frac{x ( x + 1 )}{( x - 1 ) ( x + 1 )} - \frac{x ( x - 1 )}{( x - 1 ) ( x + 1 )}

Apply the fraction rule:

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

= \frac{x ( x + 1 ) - x ( x - 1 )}{( x - 1 ) ( x + 1 )}

Simplify

x (x + 1) - x (x - 1) : 2 x

= \frac{2 x}{( x - 1 ) ( x + 1 )}

(a - 1)^{4}

(a^{x})^{2}

- 9 \div 9

\frac{\frac{1}{2}}{- 2}

\frac{x ^{2} - 1}{x ^{2} - 6 x + 5} \cdot \frac{3 x - 15}{6 x}