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

The solution to (x^2-2x-3)/(x^2-x-6) is (x+1)/(x+2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

\frac{x + 1}{x + 2}

Solution steps

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

Factor

x^{2} - 2 x - 3 : (x + 1) (x - 3)

= \frac{( x + 1 ) ( x - 3 )}{x ^{2} - x - 6}

Factor

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

= \frac{( x + 1 ) ( x - 3 )}{( x + 2 ) ( x - 3 )}

Cancel the common factor:

x - 3

= \frac{x + 1}{x + 2}

(r - 2 s)^{2}

\frac{x}{5 x}

\frac{x + 5}{x + 2} - \frac{x + 1}{x ^{2} + 2 x}

\frac{3 s ^{2}}{4 ( s ) ^{3}}

\frac{x ^{2} - 5 x - 6}{x ^{2} + 2 x + 1}

What is (x^2-2x-3)/(x^2-x-6) ?
The solution to (x^2-2x-3)/(x^2-x-6) is (x+1)/(x+2)