展開する 1/((x-n)(x-na)(x-na^2))

解

展開する

\frac{1}{( x - n ) ( x - na ) ( x - n a ^{2} )}

\frac{1}{x ^{3} - a ^{2} n x ^{2} - an x ^{2} + a ^{3} n ^{2} x - n x ^{2} + a ^{2} n ^{2} x + a n ^{2} x - a ^{3} n ^{3}}

解答ステップ

\frac{1}{( x - n ) ( x - na ) ( x - n a ^{2} )}

拡張

(x - n) (x - na) (x - n a^{2}) : x^{3} - a^{2} n x^{2} - an x^{2} + a^{3} n^{2} x - n x^{2} + a^{2} n^{2} x + a n^{2} x - a^{3} n^{3}

= \frac{1}{x ^{3} - a ^{2} n x ^{2} - an x ^{2} + a ^{3} n ^{2} x - n x ^{2} + a ^{2} n ^{2} x + a n ^{2} x - a ^{3} n ^{3}}