What is (6x)/(x^2-9)+x/(x+3) ?

The solution to (6x)/(x^2-9)+x/(x+3) is x/(x-3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (6x)/(x^2-9)+x/(x+3)

simplify

\frac{6 x}{x ^{2} - 9} + \frac{x}{x + 3}

\frac{x}{x - 3}

Solution steps

\frac{6 x}{x ^{2} - 9} + \frac{x}{x + 3}

Least Common Multiplier of

x^{2} - 9, x + 3 : (x + 3) (x - 3)

Adjust Fractions based on the LCM

= \frac{6 x}{( x + 3 ) ( x - 3 )} + \frac{x ( x - 3 )}{( x + 3 ) ( x - 3 )}

Apply the fraction rule:

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

= \frac{6 x + x ( x - 3 )}{( x + 3 ) ( x - 3 )}

Simplify

6 x + x (x - 3) : x^{2} + 3 x

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

Cancel

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

= \frac{x}{x - 3}

(9 b - 1) (9 b + 1)

(x + 3) (x)

(- 8 + 2 i) (- 8 - 2 i)

15 + 4 (5 y - 10)

3 x (x - 2) - 2 y (x - 2)