What is (x^2-16)/(x^2-x-12) ?

The solution to (x^2-16)/(x^2-x-12) is (x+4)/(x+3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2-16)/(x^2-x-12)

simplify

\frac{x ^{2} - 16}{x ^{2} - x - 12}

\frac{x + 4}{x + 3}

Solution steps

\frac{x ^{2} - 16}{x ^{2} - x - 12}

Factor

x^{2} - 16 : (x + 4) (x - 4)

= \frac{( x + 4 ) ( x - 4 )}{x ^{2} - x - 12}

Factor

x^{2} - x - 12 : (x + 3) (x - 4)

= \frac{( x + 4 ) ( x - 4 )}{( x + 3 ) ( x - 4 )}

Cancel the common factor:

x - 4

= \frac{x + 4}{x + 3}

- 5 + (- 9)

6 \cdot 10

(- 3) (312)

\frac{x ^{2} - 17 x + 72}{x ^{2} - 6 x - 27}

\frac{x}{x - 10} - \frac{x - 2}{x + 6}

What is (x^2-16)/(x^2-x-12) ?
The solution to (x^2-16)/(x^2-x-12) is (x+4)/(x+3)