What is (3x)/(x-5)-4/x ?

The solution to (3x)/(x-5)-4/x is (3x^2-4x+20)/(x(x-5))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3x)/(x-5)-4/x

simplify

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

\frac{3 x ^{2} - 4 x + 20}{x ( x - 5 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{3 x ^{2}}{x ( x - 5 )} - \frac{4 ( x - 5 )}{x ( x - 5 )}

Apply the fraction rule:

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

= \frac{3 x ^{2} - 4 ( x - 5 )}{x ( x - 5 )}

Simplify

3 x^{2} - 4 (x - 5) : 3 x^{2} - 4 x + 20

= \frac{3 x ^{2} - 4 x + 20}{x ( x - 5 )}

- 4 x^{3} + 4 x

5 x^{3} + 40 y^{3}

3 k^{2} (- 2 k^{2} - 4 k + 7)

(- 1) - 3

What is (3x)/(x-5)-4/x ?
The solution to (3x)/(x-5)-4/x is (3x^2-4x+20)/(x(x-5))