What is (x^2+9x+14)/(x^2+10x+16) ?

The solution to (x^2+9x+14)/(x^2+10x+16) is (x+7)/(x+8)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2+9x+14)/(x^2+10x+16)

simplify

\frac{x ^{2} + 9 x + 14}{x ^{2} + 10 x + 16}

\frac{x + 7}{x + 8}

Solution steps

\frac{x ^{2} + 9 x + 14}{x ^{2} + 10 x + 16}

Factor

x^{2} + 9 x + 14 : (x + 2) (x + 7)

= \frac{( x + 2 ) ( x + 7 )}{x ^{2} + 10 x + 16}

Factor

x^{2} + 10 x + 16 : (x + 2) (x + 8)

= \frac{( x + 2 ) ( x + 7 )}{( x + 2 ) ( x + 8 )}

Cancel the common factor:

x + 2

= \frac{x + 7}{x + 8}

1 - 11

13 + 8

15 + 7

170!

What is (x^2+9x+14)/(x^2+10x+16) ?
The solution to (x^2+9x+14)/(x^2+10x+16) is (x+7)/(x+8)