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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

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

\frac{100}{( s + 1 ) ( s + 5 )}

(x - 4) e^{x}

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

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

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