What is expand (6(-x+3))/((x-1)^3) ?

The solution to expand (6(-x+3))/((x-1)^3) is (-6x+18)/(x^3-3x^2+3x-1)

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expand (6(-x+3))/((x-1)^3)

expand

\frac{6 ( - x + 3 )}{( x - 1 ) ^{3}}

\frac{- 6 x + 18}{x ^{3} - 3 x ^{2} + 3 x - 1}

Solution steps

\frac{6 ( - x + 3 )}{( x - 1 ) ^{3}}

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

= \frac{6 ( - x + 3 )}{x ^{3} - 3 x ^{2} + 3 x - 1}

Expand

6 (- x + 3) : - 6 x + 18

= \frac{- 6 x + 18}{x ^{3} - 3 x ^{2} + 3 x - 1}

(\frac{2 x ^{2}}{y} + \frac{y ^{2}}{x})^{4}

(1 - e^{z}) (z + e^{z})

x d x + (y + 1) d y

(x - 10) (x - \frac{1}{2})

(cos (θ) - sin (θ)) \cdot (cos (θ))

What is expand (6(-x+3))/((x-1)^3) ?
The solution to expand (6(-x+3))/((x-1)^3) is (-6x+18)/(x^3-3x^2+3x-1)