What is expand (6x)/((x-1)^4) ?

The solution to expand (6x)/((x-1)^4) is (6x)/(x^4-4x^3+6x^2-4x+1)

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expand (6x)/((x-1)^4)

expand

\frac{6 x}{( x - 1 ) ^{4}}

\frac{6 x}{x ^{4} - 4 x ^{3} + 6 x ^{2} - 4 x + 1}

Solution steps

\frac{6 x}{( x - 1 ) ^{4}}

(x - 1)^{4} = x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1

= \frac{6 x}{x ^{4} - 4 x ^{3} + 6 x ^{2} - 4 x + 1}

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

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

\frac{5 x ^{2} + 20 x + 6}{x ( x + 1 ) ^{2}}

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

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

What is expand (6x)/((x-1)^4) ?
The solution to expand (6x)/((x-1)^4) is (6x)/(x^4-4x^3+6x^2-4x+1)