What is x/(x^2-4)+3/(x+2) ?

The solution to x/(x^2-4)+3/(x+2) is (4x-6)/((x+2)(x-2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify x/(x^2-4)+3/(x+2)

simplify

\frac{x}{x ^{2} - 4} + \frac{3}{x + 2}

\frac{4 x - 6}{( x + 2 ) ( x - 2 )}

Solution steps

\frac{x}{x ^{2} - 4} + \frac{3}{x + 2}

Least Common Multiplier of

x^{2} - 4, x + 2 : (x + 2) (x - 2)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x + 3 (x - 2) : 4 x - 6

= \frac{4 x - 6}{( x + 2 ) ( x - 2 )}

- 1 + - 64 - 144 + - 9

- 9 + 15

- 9 - 10

a + \frac{1}{a}

lo g_{3} (x^{3})

What is x/(x^2-4)+3/(x+2) ?
The solution to x/(x^2-4)+3/(x+2) is (4x-6)/((x+2)(x-2))