What is 5/(x-5)+1/(x-8) ?

The solution to 5/(x-5)+1/(x-8) is (6x-45)/((x-5)(x-8))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5/(x-5)+1/(x-8)

simplify

\frac{5}{x - 5} + \frac{1}{x - 8}

\frac{6 x - 45}{( x - 5 ) ( x - 8 )}

Solution steps

\frac{5}{x - 5} + \frac{1}{x - 8}

Least Common Multiplier of

x - 5, x - 8 : (x - 5) (x - 8)

Adjust Fractions based on the LCM

= \frac{5 ( x - 8 )}{( x - 5 ) ( x - 8 )} + \frac{x - 5}{( x - 5 ) ( x - 8 )}

Apply the fraction rule:

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

= \frac{5 ( x - 8 ) + x - 5}{( x - 5 ) ( x - 8 )}

Simplify

5 (x - 8) + x - 5 : 6 x - 45

= \frac{6 x - 45}{( x - 5 ) ( x - 8 )}

x (x + 7)

- 2^{10}

lo g_{e} (x + x^{2} + 1)

(2 x - 6) (x + 11)

\frac{- 6 x ^{5}}{- 3 x ^{8}}

What is 5/(x-5)+1/(x-8) ?
The solution to 5/(x-5)+1/(x-8) is (6x-45)/((x-5)(x-8))