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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

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

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

Apply the fraction rule:

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

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

(p - q)^{2}

ln (x^{- 1})

- 3 + (- 6)

4 x y^{4} z^{3} - 4 x y^{4} z^{3}

\frac{x}{x ^{2} + y ^{2}}