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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

x + h, x : x (x + h)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x - (x + h) : - h

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

Apply the fraction rule:

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

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

x^{5} + x^{4} + x^{3} + x^{2} + x + 1

192 x - 12 x^{2} = 0

400 = 30 (25 - t^{2})

\frac{2.5}{2.5 - 3}

\frac{1}{2} - \frac{2}{3} x = \frac{1}{4}