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

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

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

expand

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

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

Solution steps

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

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

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

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

\frac{2 x ^{3} + 5 x - 1}{( 5 x + 1 ) ^{3} ( x ^{2} + 9 ) ^{2}}

\frac{x ^{4} - 12 x ^{2} + 2 x}{( x ^{2} - 4 ) ^{2}}

c - 9

\frac{2 x ^{3} + 5 x - 1}{( x + 7 ) ^{2} ( 2 x ^{2} + 1 ) ^{3}}

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