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

The solution to expand ((x-1)^2)/((x+2)^3) is (x^2-2x+1)/(x^3+6x^2+12x+8)

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

expand

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

\frac{x ^{2} - 2 x + 1}{x ^{3} + 6 x ^{2} + 12 x + 8}

Solution steps

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

(x + 2)^{3} = x^{3} + 6 x^{2} + 12 x + 8

= \frac{( x - 1 ) ^{2}}{x ^{3} + 6 x ^{2} + 12 x + 8}

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

= \frac{x ^{2} - 2 x + 1}{x ^{3} + 6 x ^{2} + 12 x + 8}

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

1 - s t e p (t - 1)

\frac{5 x ^{2} - 14 x + 13}{( x + 1 ) ( x - 3 ) ^{2}}

\frac{\partial}{\partial x} ((y) (- \frac{6}{x ^{2}} + \frac{1}{6}))

l (3 t^{4} + sin (3 t) + cos (4 t))

What is expand ((x-1)^2)/((x+2)^3) ?
The solution to expand ((x-1)^2)/((x+2)^3) is (x^2-2x+1)/(x^3+6x^2+12x+8)