What is expand (dx)/((x^2+a^2)^2) ?

The solution to expand (dx)/((x^2+a^2)^2) is (dx)/(x^4+2a^2x^2+a^4)

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expand (dx)/((x^2+a^2)^2)

expand

\frac{d x}{( x ^{2} + a ^{2} ) ^{2}}

\frac{d x}{x ^{4} + 2 a ^{2} x ^{2} + a ^{4}}

Solution steps

\frac{d x}{( x ^{2} + a ^{2} ) ^{2}}

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

= \frac{d x}{x ^{4} + 2 a ^{2} x ^{2} + a ^{4}}

e^{x + y + z} (e^{z} - e^{x + y})

ln (2) \cdot 2^{2 (- 4 x^{3} - 5 x^{2}) + 1} (- 12 x^{2} - 10 x)

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

(sec (x) - tan (x))^{2} d x

sin (42 0^{\circ})

What is expand (dx)/((x^2+a^2)^2) ?
The solution to expand (dx)/((x^2+a^2)^2) is (dx)/(x^4+2a^2x^2+a^4)