因数 450a^2+242c^2+660ac

解

因数

450 a^{2} + 242 c^{2} + 660 a c

2 (15 a + 11 c)^{2}

解答ステップ

450 a^{2} + 242 c^{2} + 660 a c

共通項をくくり出す

2 : 2 (225 a^{2} + 121 c^{2} + 330 a c)

= 2 (225 a^{2} + 121 c^{2} + 330 a c)

因数

225 a^{2} + 121 c^{2} + 330 a c : (15 a + 11 c) (15 a + 11 c)

= 2 (15 a + 11 c) (15 a + 11 c)

指数の規則を適用する:

aa = a^{2}

(15 a + 11 c) (15 a + 11 c) = (15 a + 11 c)^{2}

= 2 (15 a + 11 c)^{2}