簡約 (\sqrt[3]{x+125}-5)(\sqrt[3]{x+125}+5)^2

解

簡約

(3 x + 125 - 5) (3 x + 125 + 5)^{2}

(3 x + 125)^{2} 3 x + 125 + 5 (3 x + 125)^{2} - 25 3 x + 125 - 125

解答ステップ

(3 x + 125 - 5) (3 x + 125 + 5)^{2}

拡張

(3 x + 125 + 5)^{2} : (3 x + 125)^{2} + 10 3 x + 125 + 25

= (3 x + 125 - 5) ((3 x + 125)^{2} + 10 3 x + 125 + 25)

括弧を分配する

= 3 x + 125 (3 x + 125)^{2} + 3 x + 125 \cdot 10 3 x + 125 + 3 x + 125 \cdot 25 - 5 (3 x + 125)^{2} - 5 \cdot 10 3 x + 125 - 5 \cdot 25

簡素化

3 x + 125 (3 x + 125)^{2} + 3 x + 125 \cdot 10 3 x + 125 + 3 x + 125 \cdot 25 - 5 (3 x + 125)^{2} - 5 \cdot 10 3 x + 125 - 5 \cdot 25 : (3 x + 125)^{2} 3 x + 125 + 5 (3 x + 125)^{2} - 25 3 x + 125 - 125

= (3 x + 125)^{2} 3 x + 125 + 5 (3 x + 125)^{2} - 25 3 x + 125 - 125