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

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

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

\frac{4 + 3 i}{5 - 3 i}

\frac{sec ( θ )}{cos ( θ )} - \frac{tan ( θ )}{cot ( θ )}

16 \cdot 4

(- c)^{4}

lo g_{10} (1.7)