因数 x^2y^4-x^5y^2

解

因数

x^{2} y^{4} - x^{5} y^{2}

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

解答ステップ

x^{2} y^{4} - x^{5} y^{2}

指数の規則を適用する:

a^{b + c} = a^{b} a^{c}

x^{2} y^{4} = x^{2} y^{2} y^{2}, x^{5} y^{2} = x^{2} x^{3} y^{2}

= x^{2} y^{2} y^{2} - x^{2} x^{3} y^{2}

共通項をくくり出す

x^{2} y^{2}

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