展開する (3x^2-5x+1)^5

解

展開する

(3 x^{2} - 5 x + 1)^{5}

243 x^{10} - 2025 x^{9} + 7155 x^{8} - 13950 x^{7} + 16395 x^{6} - 11975 x^{5} + 5465 x^{4} - 1550 x^{3} + 265 x^{2} - 25 x + 1

解答ステップ

(3 x^{2} - 5 x + 1)^{5}

(3 x^{2} - 5 x + 1)^{5} = (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1)

= (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1)

拡張

(3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1) (3 x^{2} - 5 x + 1) : 243 x^{10} - 2025 x^{9} + 7155 x^{8} - 13950 x^{7} + 16395 x^{6} - 11975 x^{5} + 5465 x^{4} - 1550 x^{3} + 265 x^{2} - 25 x + 1

= 243 x^{10} - 2025 x^{9} + 7155 x^{8} - 13950 x^{7} + 16395 x^{6} - 11975 x^{5} + 5465 x^{4} - 1550 x^{3} + 265 x^{2} - 25 x + 1