What is ((x-1)(x^2-2x))/(x^4) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((x-1)(x^2-2x))/(x^4)

simplify

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

\frac{( x - 1 ) ( x - 2 )}{x ^{3}}

Solution steps

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

Factor

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

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

Apply exponent rule:

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

x^{4} = x x^{3}

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

Cancel the common factor:

x

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

2 x^{3} + 5 x^{2} - 28 x - 15

x^{4} + 3 x^{3} + 3 x^{2} + x

- 2 - 100

- 3 + (- \frac{3}{4})

5 + 5 f + 2 - 9 f

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