What is (3x)/(x-3)+5/(x^2-9) ?

The solution to (3x)/(x-3)+5/(x^2-9) is (3x^2+9x+5)/((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 (3x)/(x-3)+5/(x^2-9)

simplify

\frac{3 x}{x - 3} + \frac{5}{x ^{2} - 9}

\frac{3 x ^{2} + 9 x + 5}{( x - 3 ) ( x + 3 )}

Solution steps

\frac{3 x}{x - 3} + \frac{5}{x ^{2} - 9}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{3 x ( x + 3 )}{( x - 3 ) ( x + 3 )} + \frac{5}{( x - 3 ) ( x + 3 )}

Apply the fraction rule:

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

= \frac{3 x ( x + 3 ) + 5}{( x - 3 ) ( x + 3 )}

Simplify

3 x (x + 3) + 5 : 3 x^{2} + 9 x + 5

= \frac{3 x ^{2} + 9 x + 5}{( x - 3 ) ( x + 3 )}

lo g_{327} (+ lo g_{3} (81))

(x - 4) (x - 5) (x + 2) (x + 7)

(3 x + 4) (2 x - 5)

- 1 - 8

(y - x^{2})^{3}

What is (3x)/(x-3)+5/(x^2-9) ?
The solution to (3x)/(x-3)+5/(x^2-9) is (3x^2+9x+5)/((x-3)(x+3))