因数 10x^8y^2+80x^2y^5

解

因数

10 x^{8} y^{2} + 80 x^{2} y^{5}

10 x^{2} y^{2} (x^{2} + 2 y) (x^{4} - 2 x^{2} y + 4 y^{2})

解答ステップ

10 x^{8} y^{2} + 80 x^{2} y^{5}

共通項をくくり出す

10 x^{2} y^{2} : 10 x^{2} y^{2} (x^{6} + 8 y^{3})

= 10 x^{2} y^{2} (x^{6} + 8 y^{3})

因数

x^{6} + 8 y^{3} : (x^{2} + 2 y) (x^{4} - 2 x^{2} y + 4 y^{2})

= 10 x^{2} y^{2} (x^{2} + 2 y) (x^{4} - 2 x^{2} y + 4 y^{2})