What is expand (3x^3+5x^2+2x)/((x-1)^3) ?

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

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expand (3x^3+5x^2+2x)/((x-1)^3)

expand

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

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

Solution steps

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

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

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

(3 + (- 5) x) y^{''} (x) + (5 x) y^{'} (x) + 3 y

I n (x x^{2} + y^{2})

(x - 3) (x - (3 + i)) (x - (3 - i))

\frac{2 ( 8 x + 7 )}{( 3 x - 1 ) ^{3}}

K + 0.082 K

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