展開する (s^2)/((s^2+a^2)(s^2+b^2))

解

展開する

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

\frac{s ^{2}}{s ^{4} + b ^{2} s ^{2} + a ^{2} s ^{2} + a ^{2} b ^{2}}

解答ステップ

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

拡張

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

= \frac{s ^{2}}{s ^{4} + b ^{2} s ^{2} + a ^{2} s ^{2} + a ^{2} b ^{2}}