展開する (2+3y+y^2)^6

解

展開する

(2 + 3 y + y^{2})^{6}

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

解答ステップ

(2 + 3 y + y^{2})^{6}

(2 + 3 y + y^{2})^{6} = (2 + 3 y + y^{2}) (2 + 3 y + y^{2}) (2 + 3 y + y^{2}) (2 + 3 y + y^{2}) (2 + 3 y + y^{2}) (2 + 3 y + y^{2})

= (y^{2} + 3 y + 2) (y^{2} + 3 y + 2) (y^{2} + 3 y + 2) (y^{2} + 3 y + 2) (y^{2} + 3 y + 2) (y^{2} + 3 y + 2)

拡張

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

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