因数 9-w^2-(3-w)^2

解

因数

9 - w^{2} - (3 - w)^{2}

2 w (3 - w)

解答ステップ

9 - w^{2} - (3 - w)^{2}

因数

9 - w^{2} : (3 + w) (3 - w)

= (3 + w) (3 - w) - (3 - w)^{2}

共通項をくくり出す

(3 - w) : (3 - w) (3 + w - (3 - w))

= (3 - w) (3 + w - (3 - w))

拡張

3 + w - (3 - w) : 2 w

= (3 - w) \cdot 2 w

= 2 w (3 - w)