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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x + 1 - x : 1

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

- 1^{\frac{4}{3}}

\frac{x ^{2} + x}{x ^{2} - 1}

9 x^{3}

3 x^{2} + 27 x + 24

1 \cdot (- 2)