What is (x^2-7x+12)/(4x-x^2) ?

The solution to (x^2-7x+12)/(4x-x^2) is -(x-3)/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2-7x+12)/(4x-x^2)

simplify

\frac{x ^{2} - 7 x + 12}{4 x - x ^{2}}

- \frac{x - 3}{x}

Solution steps

\frac{x ^{2} - 7 x + 12}{4 x - x ^{2}}

Factor

x^{2} - 7 x + 12 : (x - 3) (x - 4)

= \frac{( x - 3 ) ( x - 4 )}{4 x - x ^{2}}

Factor

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

= \frac{( x - 3 ) ( x - 4 )}{x ( 4 - x )}

x (4 - x) = - x (x - 4)

= \frac{( x - 3 ) ( x - 4 )}{- x ( x - 4 )}

Cancel the common factor:

x - 4

= \frac{x - 3}{- x}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{x - 3}{x}

- 6 - (- 7)

\frac{8 d - 3}{9} + \frac{4 d + 12}{9}

\frac{8}{25} + \frac{12}{45}

(2 x - 1) (x - 5)

(3 - 2 i) (7 + 6 i)