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

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

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

expand

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

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

Solution steps

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

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

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

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

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

(2 x - y) d x + (x + 3 y) d y

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

x (\frac{x}{2} - 8 = y)

\frac{( 3 x - 9 ) ^{2}}{16}

\frac{x + 2}{4 ( x + 1 )}

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