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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

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

Solution steps

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

Simplify

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

= \frac{\frac{2}{x + h} - \frac{2}{x}}{h}

Join

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

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

Apply the fraction rule:

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

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

Apply the fraction rule:

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

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

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

Cancel the common factor:

h

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

x - (8 - x) = 12

2 x - 5 (1 - 3 x) = 1 - 3 (1 - 2 x)

c + 93 \geq 17

- \frac{8}{2 a}

∣ 3 b + 13 ∣ = 0

What is ((2/(x+h))-(2/x))/h ?
The solution to ((2/(x+h))-(2/x))/h is -2/(x(x+h))