展開する (2x^2+3x+1)^7

解

展開する

(2 x^{2} + 3 x + 1)^{7}

128 x^{14} + 1344 x^{13} + 6496 x^{12} + 19152 x^{11} + 38472 x^{10} + 55692 x^{9} + 59906 x^{8} + 48639 x^{7} + 29953 x^{6} + 13923 x^{5} + 4809 x^{4} + 1197 x^{3} + 203 x^{2} + 21 x + 1

解答ステップ

(2 x^{2} + 3 x + 1)^{7}

(2 x^{2} + 3 x + 1)^{7} = (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1)

= (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1)

拡張

(2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) : 128 x^{14} + 1344 x^{13} + 6496 x^{12} + 19152 x^{11} + 38472 x^{10} + 55692 x^{9} + 59906 x^{8} + 48639 x^{7} + 29953 x^{6} + 13923 x^{5} + 4809 x^{4} + 1197 x^{3} + 203 x^{2} + 21 x + 1

= 128 x^{14} + 1344 x^{13} + 6496 x^{12} + 19152 x^{11} + 38472 x^{10} + 55692 x^{9} + 59906 x^{8} + 48639 x^{7} + 29953 x^{6} + 13923 x^{5} + 4809 x^{4} + 1197 x^{3} + 203 x^{2} + 21 x + 1