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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

- 2 + (- \frac{4}{3})

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

\frac{1}{( x - 8 ) ^{2}}

πh (4 r^{2} - h^{2})

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

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