因数 27x^4+8x

解

因数

27 x^{4} + 8 x

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

解答ステップ

27 x^{4} + 8 x

共通項をくくり出す

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

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

因数

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

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

簡素化

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

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