What is expand x/((1-x)^2(1-3x)) ?

The solution to expand x/((1-x)^2(1-3x)) is x/(1-5x+7x^2-3x^3)

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expand x/((1-x)^2(1-3x))

expand

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

\frac{x}{1 - 5 x + 7 x ^{2} - 3 x ^{3}}

Solution steps

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

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

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

Expand

(1 - 2 x + x^{2}) (1 - 3 x) : 1 - 5 x + 7 x^{2} - 3 x^{3}

= \frac{x}{1 - 5 x + 7 x ^{2} - 3 x ^{3}}

\frac{2 x ( 10 x ^{2} - x ^{3} )}{75}

\frac{b ( - 144 + 16 x ^{2} + 9 y ^{2} ) ^{2}}{20736}

H (- 3.6) U (7, - 4)

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

(e^{x} - 2) (e^{x} - 3)

What is expand x/((1-x)^2(1-3x)) ?
The solution to expand x/((1-x)^2(1-3x)) is x/(1-5x+7x^2-3x^3)