What is factor x^{-1}-3x^{-2}+2x^{-3} ?

The solution to factor x^{-1}-3x^{-2}+2x^{-3} 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 >

factor x^{-1}-3x^{-2}+2x^{-3}

factor

x^{- 1} - 3 x^{- 2} + 2 x^{- 3}

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

Solution steps

x^{- 1} - 3 x^{- 2} + 2 x^{- 3}

Apply exponent rule:

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

x^{- 1} = x^{- 3} x^{2}, x^{- 2} = x^{- 3} x

= x^{- 3} x^{2} - 3 x^{- 3} x + 2 x^{- 3}

Factor out common term

x^{- 3}

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

Factor

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

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

Refine

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

\frac{( x ^{4} - 16 )}{x - 2}

A (3.4)

- \frac{9}{100} q^{2} + 49

(5 p - 3) + (2 p^{2} - 3 p^{3})

\frac{d}{d t} ((x) (3 t))

What is factor x^{-1}-3x^{-2}+2x^{-3} ?
The solution to factor x^{-1}-3x^{-2}+2x^{-3} is ((x-1)(x-2))/(x^3)