What is (x^2+x)/(x^2+3x+2) ?

The solution to (x^2+x)/(x^2+3x+2) is x/(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+x)/(x^2+3x+2)

simplify

\frac{x ^{2} + x}{x ^{2} + 3 x + 2}

\frac{x}{x + 2}

Solution steps

\frac{x ^{2} + x}{x ^{2} + 3 x + 2}

Factor

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

= \frac{x ( x + 1 )}{x ^{2} + 3 x + 2}

Factor

x^{2} + 3 x + 2 : (x + 1) (x + 2)

= \frac{x ( x + 1 )}{( x + 1 ) ( x + 2 )}

Cancel the common factor:

x + 1

= \frac{x}{x + 2}

3 2^{4}

\frac{- 3 + 10 i}{- 6 i}

2 x^{2} \times 2 x^{2}

4 x (x - 3)

3 a - 12 ab