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

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

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

\frac{30}{39}

- \frac{1}{4} \cdot (- 4)

- 4 112 x^{5} - x^{2} 175 x

x^{4} + 2 x

(x^{2} + 6 x - 4) (2 x - 4)