因数 8x^5y^2-27x^2y^5

解

因数

8 x^{5} y^{2} - 27 x^{2} y^{5}

x^{2} y^{2} (2 x - 3 y) (4 x^{2} + 6 x y + 9 y^{2})

解答ステップ

8 x^{5} y^{2} - 27 x^{2} y^{5}

共通項をくくり出す

x^{2} y^{2} : x^{2} y^{2} (8 x^{3} - 27 y^{3})

= x^{2} y^{2} (8 x^{3} - 27 y^{3})

因数

8 x^{3} - 27 y^{3} : (2 x - 3 y) (4 x^{2} + 6 x y + 9 y^{2})

= x^{2} y^{2} (2 x - 3 y) (4 x^{2} + 6 x y + 9 y^{2})