What is x/(x+5)-2/(x-3) ?

The solution to x/(x+5)-2/(x-3) is (x^2-5x-10)/((x+5)(x-3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify x/(x+5)-2/(x-3)

simplify

\frac{x}{x + 5} - \frac{2}{x - 3}

\frac{x ^{2} - 5 x - 10}{( x + 5 ) ( x - 3 )}

Solution steps

\frac{x}{x + 5} - \frac{2}{x - 3}

Least Common Multiplier of

x + 5, x - 3 : (x + 5) (x - 3)

Adjust Fractions based on the LCM

= \frac{x ( x - 3 )}{( x + 5 ) ( x - 3 )} - \frac{2 ( x + 5 )}{( x + 5 ) ( x - 3 )}

Apply the fraction rule:

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

= \frac{x ( x - 3 ) - 2 ( x + 5 )}{( x + 5 ) ( x - 3 )}

Simplify

x (x - 3) - 2 (x + 5) : x^{2} - 5 x - 10

= \frac{x ^{2} - 5 x - 10}{( x + 5 ) ( x - 3 )}

\frac{1}{2} - \frac{5}{6}

lo g_{\frac{1}{2}} (0.25)

\frac{3}{4} - \frac{4}{5}

(5 + 2) (5 - 2)

(3 + 2 i) (5 - i)

What is x/(x+5)-2/(x-3) ?
The solution to x/(x+5)-2/(x-3) is (x^2-5x-10)/((x+5)(x-3))