展開する (19(40s+11))/(6(4s+3)^2(5s-1)^2)

解

展開する

\frac{19 ( 40 s + 11 )}{6 ( 4 s + 3 ) ^{2} ( 5 s - 1 ) ^{2}}

\frac{760 s + 209}{2400 s ^{4} + 2640 s ^{3} + 6 s ^{2} - 396 s + 54}

解答ステップ

\frac{19 ( 40 s + 11 )}{6 ( 4 s + 3 ) ^{2} ( 5 s - 1 ) ^{2}}

(4 s + 3)^{2} = 16 s^{2} + 24 s + 9

= \frac{19 ( 40 s + 11 )}{6 ( 16 s ^{2} + 24 s + 9 ) ( 5 s - 1 ) ^{2}}

(5 s - 1)^{2} = 25 s^{2} - 10 s + 1

= \frac{19 ( 40 s + 11 )}{6 ( 16 s ^{2} + 24 s + 9 ) ( 25 s ^{2} - 10 s + 1 )}

拡張

6 (16 s^{2} + 24 s + 9) (25 s^{2} - 10 s + 1) : 2400 s^{4} + 2640 s^{3} + 6 s^{2} - 396 s + 54

= \frac{19 ( 40 s + 11 )}{2400 s ^{4} + 2640 s ^{3} + 6 s ^{2} - 396 s + 54}

拡張

19 (40 s + 11) : 760 s + 209

= \frac{760 s + 209}{2400 s ^{4} + 2640 s ^{3} + 6 s ^{2} - 396 s + 54}