展開する (2r^4+8r^2+1)^5

解

展開する

(2 r^{4} + 8 r^{2} + 1)^{5}

32 r^{20} + 640 r^{18} + 5200 r^{16} + 21760 r^{14} + 48720 r^{12} + 54208 r^{10} + 24360 r^{8} + 5440 r^{6} + 650 r^{4} + 40 r^{2} + 1

解答ステップ

(2 r^{4} + 8 r^{2} + 1)^{5}

(2 r^{4} + 8 r^{2} + 1)^{5} = (2 r^{4} + 8 r^{2} + 1) (2 r^{4} + 8 r^{2} + 1) (2 r^{4} + 8 r^{2} + 1) (2 r^{4} + 8 r^{2} + 1) (2 r^{4} + 8 r^{2} + 1)

= (2 r^{4} + 8 r^{2} + 1) (2 r^{4} + 8 r^{2} + 1) (2 r^{4} + 8 r^{2} + 1) (2 r^{4} + 8 r^{2} + 1) (2 r^{4} + 8 r^{2} + 1)

拡張

(2 r^{4} + 8 r^{2} + 1) (2 r^{4} + 8 r^{2} + 1) (2 r^{4} + 8 r^{2} + 1) (2 r^{4} + 8 r^{2} + 1) (2 r^{4} + 8 r^{2} + 1) : 32 r^{20} + 640 r^{18} + 5200 r^{16} + 21760 r^{14} + 48720 r^{12} + 54208 r^{10} + 24360 r^{8} + 5440 r^{6} + 650 r^{4} + 40 r^{2} + 1

= 32 r^{20} + 640 r^{18} + 5200 r^{16} + 21760 r^{14} + 48720 r^{12} + 54208 r^{10} + 24360 r^{8} + 5440 r^{6} + 650 r^{4} + 40 r^{2} + 1