What is (x^2+6x+5)/(x^2-1) ?

The solution to (x^2+6x+5)/(x^2-1) is (x+5)/(x-1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2+6x+5)/(x^2-1)

simplify

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

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

Solution steps

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

Factor

x^{2} + 6 x + 5 : (x + 1) (x + 5)

= \frac{( x + 1 ) ( x + 5 )}{x ^{2} - 1}

Factor

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

= \frac{( x + 1 ) ( x + 5 )}{( x + 1 ) ( x - 1 )}

Cancel the common factor:

x + 1

= \frac{x + 5}{x - 1}

\frac{1}{5} - \frac{1}{9}

\frac{5 p + 5 q}{4 p + 4 q}

(12 - 2 x)^{2}

36 x - 6

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