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

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

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

expand

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

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

Solution steps

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

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

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

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

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

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

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

\frac{8 r + 18}{( r + 3 ) ( 9 r - 28 )}

- 30 x + 780 (1 - e^{- \frac{x}{3}})

t^{\frac{7}{2}} (t^{2} - 4 t + 23)

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