展開する (x^2-3x+2)^6

解

展開する

(x^{2} - 3 x + 2)^{6}

x^{12} - 18 x^{11} + 147 x^{10} - 720 x^{9} + 2355 x^{8} - 5418 x^{7} + 8989 x^{6} - 10836 x^{5} + 9420 x^{4} - 5760 x^{3} + 2352 x^{2} - 576 x + 64

解答ステップ

(x^{2} - 3 x + 2)^{6}

(x^{2} - 3 x + 2)^{6} = (x^{2} - 3 x + 2) (x^{2} - 3 x + 2) (x^{2} - 3 x + 2) (x^{2} - 3 x + 2) (x^{2} - 3 x + 2) (x^{2} - 3 x + 2)

= (x^{2} - 3 x + 2) (x^{2} - 3 x + 2) (x^{2} - 3 x + 2) (x^{2} - 3 x + 2) (x^{2} - 3 x + 2) (x^{2} - 3 x + 2)

拡張

(x^{2} - 3 x + 2) (x^{2} - 3 x + 2) (x^{2} - 3 x + 2) (x^{2} - 3 x + 2) (x^{2} - 3 x + 2) (x^{2} - 3 x + 2) : x^{12} - 18 x^{11} + 147 x^{10} - 720 x^{9} + 2355 x^{8} - 5418 x^{7} + 8989 x^{6} - 10836 x^{5} + 9420 x^{4} - 5760 x^{3} + 2352 x^{2} - 576 x + 64

= x^{12} - 18 x^{11} + 147 x^{10} - 720 x^{9} + 2355 x^{8} - 5418 x^{7} + 8989 x^{6} - 10836 x^{5} + 9420 x^{4} - 5760 x^{3} + 2352 x^{2} - 576 x + 64