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

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

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expand 1/((x^2+a^2)(x^2+b^2))

expand

\frac{1}{( x ^{2} + a ^{2} ) ( x ^{2} + b ^{2} )}

\frac{1}{x ^{4} + b ^{2} x ^{2} + a ^{2} x ^{2} + a ^{2} b ^{2}}

Solution steps

\frac{1}{( x ^{2} + a ^{2} ) ( x ^{2} + b ^{2} )}

Expand

(x^{2} + a^{2}) (x^{2} + b^{2}) : x^{4} + b^{2} x^{2} + a^{2} x^{2} + a^{2} b^{2}

= \frac{1}{x ^{4} + b ^{2} x ^{2} + a ^{2} x ^{2} + a ^{2} b ^{2}}

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