因数+3x^6y^2+81y^2

解

因数

+ 3 x^{6} y^{2} + 81 y^{2}

3 y^{2} (x^{2} + 3) (x^{2} + 3 x + 3) (x^{2} - 3 x + 3)

解答ステップ

3 x^{6} y^{2} + 81 y^{2}

共通項をくくり出す

3 y^{2} : 3 y^{2} (x^{6} + 27)

= 3 y^{2} (x^{6} + 27)

因数

x^{6} + 27 : (x^{2} + 3) (x^{2} + 3 + 3 x) (x^{2} + 3 - 3 x)

= 3 y^{2} (x^{2} + 3) (x^{2} + 3 + 3 x) (x^{2} + 3 - 3 x)

= 3 y^{2} (x^{2} + 3) (x^{2} + 3 x + 3) (x^{2} - 3 x + 3)