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

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

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

expand

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

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

Solution steps

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

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

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

tan (x) + sin (x) (csc (x) - sec (x) = 1)

(2 x^{3} + 4 x y^{2} + y^{2}) d x + (2 x y + 4 x^{2} y) d y

(\frac{1}{3} + \frac{x}{2}) (\frac{1}{9} - \frac{x ^{2}}{4}) (\frac{1}{3} - \frac{x}{2})

(8 x^{3} - \frac{12}{x ^{3}}) (4 x^{2} - \frac{6}{x ^{4}})

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