因数 9y^6+6y^4+y^2

解

因数

9 y^{6} + 6 y^{4} + y^{2}

y^{2} (3 y^{2} + 1)^{2}

解答ステップ

9 y^{6} + 6 y^{4} + y^{2}

共通項をくくり出す

y^{2} : y^{2} (9 y^{4} + 6 y^{2} + 1)

= y^{2} (9 y^{4} + 6 y^{2} + 1)

因数

9 y^{4} + 6 y^{2} + 1 : (3 y^{2} + 1) (3 y^{2} + 1)

= y^{2} (3 y^{2} + 1) (3 y^{2} + 1)

指数の規則を適用する:

aa = a^{2}

(3 y^{2} + 1) (3 y^{2} + 1) = (3 y^{2} + 1)^{2}

= y^{2} (3 y^{2} + 1)^{2}