展開する 1/((x-1)^2(s+2)(2s+1))

解

展開する

\frac{1}{( x - 1 ) ^{2} ( s + 2 ) ( 2 s + 1 )}

\frac{1}{2 x ^{2} s ^{2} + 5 x ^{2} s + 2 x ^{2} - 4 x s ^{2} - 10 x s - 4 x + 2 s ^{2} + 5 s + 2}

解答ステップ

\frac{1}{( x - 1 ) ^{2} ( s + 2 ) ( 2 s + 1 )}

(x - 1)^{2} = x^{2} - 2 x + 1

= \frac{1}{( x ^{2} - 2 x + 1 ) ( s + 2 ) ( 2 s + 1 )}

拡張

(x^{2} - 2 x + 1) (s + 2) (2 s + 1) : 2 x^{2} s^{2} + 5 x^{2} s + 2 x^{2} - 4 x s^{2} - 10 x s - 4 x + 2 s^{2} + 5 s + 2

= \frac{1}{2 x ^{2} s ^{2} + 5 x ^{2} s + 2 x ^{2} - 4 x s ^{2} - 10 x s - 4 x + 2 s ^{2} + 5 s + 2}