簡約 (5x-6y)^2(5x+6y)^2

解

簡約

(5 x - 6 y)^{2} (5 x + 6 y)^{2}

(5 x - 6 y)^{2} (5 x + 6 y)^{2}

解答ステップ

(5 x - 6 y)^{2} (5 x + 6 y)^{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 - 6 y)^{2} (5 x + 6 y)^{2} = ((5 x - 6 y) (5 x + 6 y))^{2}

= ((5 x - 6 y) (5 x + 6 y))^{2}

指数の規則を適用する:

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

= (5 x - 6 y)^{2} (5 x + 6 y)^{2}