What is (x^2-4)/(x^2-3x+2) ?

The solution to (x^2-4)/(x^2-3x+2) is (x+2)/(x-1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2-4)/(x^2-3x+2)

simplify

\frac{x ^{2} - 4}{x ^{2} - 3 x + 2}

\frac{x + 2}{x - 1}

Solution steps

\frac{x ^{2} - 4}{x ^{2} - 3 x + 2}

Factor

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

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

Factor

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

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

Cancel the common factor:

x - 2

= \frac{x + 2}{x - 1}

\frac{6}{3 - 2}

4 x^{2} - 20 x + 2

\frac{1 - i}{1 + i}

\frac{15}{5}