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

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

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

expand

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

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

Solution steps

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

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

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

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

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

(- 3, - 2) y (2, - 7)

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

\frac{x ^{5}}{( x ^{2} + 1 ) ( x ^{3} + 4 )}

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

t (3 t - 6) d t

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