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 )}

(1 + i) (- 12 + 10 i)

t^{3} - 8 t^{2} + t

8 x^{2}

(a + b)^{7}

- 1 \div 1