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 + 3 x^{2} y) d x + (x^{3} + y^{2}) d y

\frac{( s + 5 ) k}{1 + k s ^{2} + 15 k s + 50 k}

7 a^{3} + 4 a^{- 2}

(v sin (t) - e)^{2}

\frac{d}{d u} ((f (u, y, x, z)) (- 9 y (5 x + 2 z)))

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)