因数 50v^2+40vd+8d^2

解

因数

50 v^{2} + 40 v d + 8 d^{2}

2 (5 v + 2 d)^{2}

解答ステップ

50 v^{2} + 40 v d + 8 d^{2}

共通項をくくり出す

2 : 2 (25 v^{2} + 20 v d + 4 d^{2})

= 2 (25 v^{2} + 20 v d + 4 d^{2})

因数

25 v^{2} + 20 v d + 4 d^{2} : (5 v + 2 d) (5 v + 2 d)

= 2 (5 v + 2 d) (5 v + 2 d)

指数の規則を適用する:

aa = a^{2}

(5 v + 2 d) (5 v + 2 d) = (5 v + 2 d)^{2}

= 2 (5 v + 2 d)^{2}