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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

1 + x, 1 - x : (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 x

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

Apply the fraction rule:

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

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

\frac{44}{55}

3 (2 x - 5)^{2}

5 r + 4 r^{4}

6 x + 1 + \frac{5}{x - 1}

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