因数 54x^4+16x

解

因数

54 x^{4} + 16 x

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

解答ステップ

54 x^{4} + 16 x

共通項をくくり出す

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

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

因数

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

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

簡素化

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

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