展開する 3(\sqrt[7]{x}-1)^5

解

展開する

3 (7 x - 1)^{5}

3 (7 x)^{5} - 15 (7 x)^{4} + 30 (7 x)^{3} - 30 (7 x)^{2} + 15 7 x - 3

解答ステップ

3 (7 x - 1)^{5}

拡張

(7 x - 1)^{5} : (7 x)^{5} - 5 (7 x)^{4} + 10 (7 x)^{3} - 10 (7 x)^{2} + 5 7 x - 1

= 3 ((7 x)^{5} - 5 (7 x)^{4} + 10 (7 x)^{3} - 10 (7 x)^{2} + 5 7 x - 1)

括弧を分配する

= 3 (7 x)^{5} + 3 (- 5 (7 x)^{4}) + 3 \cdot 10 (7 x)^{3} + 3 (- 10 (7 x)^{2}) + 3 \cdot 5 7 x + 3 (- 1)

簡素化

3 (7 x)^{5} + 3 (- 5 (7 x)^{4}) + 3 \cdot 10 (7 x)^{3} + 3 (- 10 (7 x)^{2}) + 3 \cdot 5 7 x + 3 (- 1) : 3 (7 x)^{5} - 15 (7 x)^{4} + 30 (7 x)^{3} - 30 (7 x)^{2} + 15 7 x - 3

= 3 (7 x)^{5} - 15 (7 x)^{4} + 30 (7 x)^{3} - 30 (7 x)^{2} + 15 7 x - 3