What is 5/(x+h)-5/x ?

The solution to 5/(x+h)-5/x is -(5h)/(x(x+h))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5/(x+h)-5/x

simplify

\frac{5}{x + h} - \frac{5}{x}

- \frac{5 h}{x ( x + h )}

Solution steps

\frac{5}{x + h} - \frac{5}{x}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{5 x}{x ( x + h )} - \frac{5 ( x + h )}{x ( x + h )}

Apply the fraction rule:

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

= \frac{5 x - 5 ( x + h )}{x ( x + h )}

Simplify

5 x - 5 (x + h) : - 5 h

= \frac{- 5 h}{x ( x + h )}

Apply the fraction rule:

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

= - \frac{5 h}{x ( x + h )}

z^{2} + 10 z + 21

k^{2} - 6 k + 8

2 x - \frac{9}{x - 3} > x - \frac{5}{x - 3}

57

5 x^{2} - 7 = 60