What is 1/(x+2)-1/x ?

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

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simplify 1/(x+2)-1/x

simplify

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

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

Solution steps

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

Least Common Multiplier of

x + 2, x : x (x + 2)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x - (x + 2) : - 2

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

Apply the fraction rule:

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

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

15 \times 20

(3 x^{2} + 4)^{2}

\frac{9}{4} + \frac{1}{4}

\frac{( \frac{x}{2} ) ^{2}}{2}

6 x - x - 3 x^{2} + 2 x