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

The solution to expand (x^2+x-1)/((x^2+1)^2) is (x^2+x-1)/(x^4+2x^2+1)

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

expand

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

\frac{x ^{2} + x - 1}{x ^{4} + 2 x ^{2} + 1}

Solution steps

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

(x^{2} + 1)^{2} = x^{4} + 2 x^{2} + 1

= \frac{x ^{2} + x - 1}{x ^{4} + 2 x ^{2} + 1}

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

(2 x y + y^{2}) ∣ (1, 0) ∣

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

π (x)^{2} (3 x + 1) - 90 π

\frac{( 4 t ^{2} + 45 ) ^{\frac{3}{2}} - 343}{12}

What is expand (x^2+x-1)/((x^2+1)^2) ?
The solution to expand (x^2+x-1)/((x^2+1)^2) is (x^2+x-1)/(x^4+2x^2+1)