What is 1/(x-3)+1/(x+3) ?

The solution to 1/(x-3)+1/(x+3) is (2x)/((x-3)(x+3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(x-3)+1/(x+3)

simplify

\frac{1}{x - 3} + \frac{1}{x + 3}

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

Solution steps

\frac{1}{x - 3} + \frac{1}{x + 3}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x + 3 + x - 3 : 2 x

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

\frac{x ^{2} + 8 x + 15}{( x + 5 )}

(- 2 a b^{3}) (4 a^{2} b^{5})

\frac{5}{3} + \frac{5}{3}

8 + 72

- 5 - \frac{5}{3}