因数 3m-n^2+2n^2x-6mx

解

因数

3 m - n^{2} + 2 n^{2} x - 6 m x

(1 - 2 x) (3 m - n^{2})

解答ステップ

3 m - n^{2} + 2 n^{2} x - 6 m x

書き換え

= 1 \cdot 3 m - n^{2} + 2 n^{2} x - 2 \cdot 3 m x

共通項をくくり出す

3 m

= 3 m (1 - 2 x) - n^{2} + 2 n^{2} x

共通項をくくり出す

n^{2}

= 3 m (1 - 2 x) + n^{2} (- 1 + 2 x)

書き換え

= 3 (1 - 2 x) m - (1 - 2 x) n^{2}

共通項をくくり出す

(1 - 2 x)

= (1 - 2 x) (3 m - n^{2})