簡約 (5x-7y^2)^2(5x+7y^2)^2

解

簡約

(5 x - 7 y^{2})^{2} (5 x + 7 y^{2})^{2}

(5 x - 7 y^{2})^{2} (5 x + 7 y^{2})^{2}

解答ステップ

(5 x - 7 y^{2})^{2} (5 x + 7 y^{2})^{2}

指数の規則を適用する:

a^{m} b^{m} = (ab)^{m},

, 以下を想定

a \geq 0, b \geq 0

(5 x - 7 y^{2})^{2} (5 x + 7 y^{2})^{2} = ((5 x - 7 y^{2}) (5 x + 7 y^{2}))^{2}

= ((5 x - 7 y^{2}) (5 x + 7 y^{2}))^{2}

指数の規則を適用する:

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

= (5 x - 7 y^{2})^{2} (5 x + 7 y^{2})^{2}