簡約 (2xy^2-5xy^2)^2

解

簡約

(2 x y^{2} - 5 x y^{2})^{2}

9 x^{2} y^{4}

解答ステップ

(2 x y^{2} - 5 x y^{2})^{2}

類似した元を足す:

2 x y^{2} - 5 x y^{2} = - 3 x y^{2}

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

指数の規則を適用する:

(- a)^{n} = a^{n},

(

n

が偶数の場合)

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

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

指数の規則を適用する:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

3^{2} = 9

= 9 x^{2} (y^{2})^{2}

簡素化

(y^{2})^{2} : y^{4}

= 9 x^{2} y^{4}