因数 36b^2-48bc+16c^2

解

因数

36 b^{2} - 48 b c + 16 c^{2}

4 (3 b - 2 c)^{2}

解答ステップ

36 b^{2} - 48 b c + 16 c^{2}

共通項をくくり出す

4 : 4 (9 b^{2} - 12 b c + 4 c^{2})

= 4 (9 b^{2} - 12 b c + 4 c^{2})

因数

9 b^{2} - 12 b c + 4 c^{2} : (3 b - 2 c) (3 b - 2 c)

= 4 (3 b - 2 c) (3 b - 2 c)

指数の規則を適用する:

aa = a^{2}

(3 b - 2 c) (3 b - 2 c) = (3 b - 2 c)^{2}

= 4 (3 b - 2 c)^{2}