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

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

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

factor

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

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

Solution steps

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

Apply exponent rule:

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

x^{- 1} = x^{- 3} x^{2}, x = x^{- 3} x^{4}

= (x^{- 3} x^{4})^{- 3} - 3 x^{- 3} x^{2} + 2 x^{- 3} x^{4}

Factor out common term

x^{- 3}

= x^{- 3} (1 - 3 x^{2} + 2 x^{4})

Factor

2 x^{4} - 3 x^{2} + 1 : (2 x^{2} - 1) (x + 1) (x - 1)

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

Refine

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

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

m^{3 x - 6} + 6 4^{9 y}

1 - 25 x^{21} - 5 x

3 1 - (2)^{2^{^{'}}}

s 2 + 0.7575700000000 \dots s + 13.7741000000000 \dots

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