What is (x^2-5x+4)/(x^2-4x) ?

The solution to (x^2-5x+4)/(x^2-4x) is (x-1)/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2-5x+4)/(x^2-4x)

simplify

\frac{x ^{2} - 5 x + 4}{x ^{2} - 4 x}

\frac{x - 1}{x}

Solution steps

\frac{x ^{2} - 5 x + 4}{x ^{2} - 4 x}

Factor

x^{2} - 5 x + 4 : (x - 1) (x - 4)

= \frac{( x - 1 ) ( x - 4 )}{x ^{2} - 4 x}

Factor

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

= \frac{( x - 1 ) ( x - 4 )}{x ( x - 4 )}

Cancel the common factor:

x - 4

= \frac{x - 1}{x}

\frac{12 ab}{a ^{2} b ^{2}}

\frac{7 ^{6}}{7 ^{4}}

\frac{24 + 2 i}{- 3 + 7 i}

- 4 \times (- 5)

\frac{2 π}{20}