What is (x^2+19x+90)/(x^2+12x+20) ?

The solution to (x^2+19x+90)/(x^2+12x+20) is (x+9)/(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+19x+90)/(x^2+12x+20)

simplify

\frac{x ^{2} + 19 x + 90}{x ^{2} + 12 x + 20}

\frac{x + 9}{x + 2}

Solution steps

\frac{x ^{2} + 19 x + 90}{x ^{2} + 12 x + 20}

Factor

x^{2} + 19 x + 90 : (x + 9) (x + 10)

= \frac{( x + 9 ) ( x + 10 )}{x ^{2} + 12 x + 20}

Factor

x^{2} + 12 x + 20 : (x + 2) (x + 10)

= \frac{( x + 9 ) ( x + 10 )}{( x + 2 ) ( x + 10 )}

Cancel the common factor:

x + 10

= \frac{x + 9}{x + 2}

\frac{2 x ^{3} - 5 x ^{2} - 9 x + 18}{x + 2}

- x^{2} 48 x^{3} - 8 x 12 x^{5}

\frac{1}{1 + i}

\frac{x ^{- 4}}{x ^{3}}

19 \times 7

What is (x^2+19x+90)/(x^2+12x+20) ?
The solution to (x^2+19x+90)/(x^2+12x+20) is (x+9)/(x+2)