What is (x^2+9x+20)/(x^2+10x+25) ?

The solution to (x^2+9x+20)/(x^2+10x+25) is (x+4)/(x+5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2+9x+20)/(x^2+10x+25)

simplify

\frac{x ^{2} + 9 x + 20}{x ^{2} + 10 x + 25}

\frac{x + 4}{x + 5}

Solution steps

\frac{x ^{2} + 9 x + 20}{x ^{2} + 10 x + 25}

Factor

x^{2} + 9 x + 20 : (x + 4) (x + 5)

= \frac{( x + 4 ) ( x + 5 )}{x ^{2} + 10 x + 25}

Factor

x^{2} + 10 x + 25 : (x + 5)^{2}

= \frac{( x + 4 ) ( x + 5 )}{( x + 5 ) ^{2}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x + 5)^{2} = (x + 5) (x + 5)

= \frac{( x + 4 ) ( x + 5 )}{( x + 5 ) ( x + 5 )}

Cancel the common factor:

x + 5

= \frac{x + 4}{x + 5}

\frac{20 x ^{8} y ^{3}}{4 x ^{8} y}

(r^{4}) (- 3 r^{4})

10 x - 10

\frac{\partial}{\partial s} ((w) (y^{3} - 9 (- 1)^{2} y))

a^{2} + 33 - 14 a

What is (x^2+9x+20)/(x^2+10x+25) ?
The solution to (x^2+9x+20)/(x^2+10x+25) is (x+4)/(x+5)