因数 16x^3+54

解

因数

16 x^{3} + 54

2 (2 x + 3) (4 x^{2} - 6 x + 9)

解答ステップ

16 x^{3} + 54

共通項をくくり出す

2 : 2 (8 x^{3} + 27)

= 2 (8 x^{3} + 27)

因数

8 x^{3} + 27 : (2 x + 3) (2^{2} x^{2} - 3 \cdot 2 x + 3^{2})

= 2 (2 x + 3) (2^{2} x^{2} - 3 \cdot 2 x + 3^{2})

簡素化

2 (2 x + 3) (2^{2} x^{2} - 3 \cdot 2 x + 3^{2}) : 2 (2 x + 3) (4 x^{2} - 6 x + 9)

= 2 (2 x + 3) (4 x^{2} - 6 x + 9)