What is (x^2+5x+6)/(x^2-9) ?

The solution to (x^2+5x+6)/(x^2-9) is (x+2)/(x-3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2+5x+6)/(x^2-9)

simplify

\frac{x ^{2} + 5 x + 6}{x ^{2} - 9}

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

Solution steps

\frac{x ^{2} + 5 x + 6}{x ^{2} - 9}

Factor

x^{2} + 5 x + 6 : (x + 2) (x + 3)

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

Factor

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

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

Cancel the common factor:

x + 3

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

- \frac{1}{6} - \frac{8}{9}

(2 x - 1) (2 x^{2} - 5 x - 3)

(- 7)^{6}

4 x - 3 y + 2 x + y + 7

x \cdot (- 2) x