簡約 4R^2(R^2-u^2-v^2)^2

解

簡約

4 R^{2} (R^{2} - u^{2} - v^{2})^{2}

4 R^{2} (R^{2} - u^{2} - v^{2})^{2}

解答ステップ

4 R^{2} (R^{2} - u^{2} - v^{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

R^{2} (R^{2} - u^{2} - v^{2})^{2} = (R (R^{2} - u^{2} - v^{2}))^{2}

= 4 (R (R^{2} - u^{2} - v^{2}))^{2}

(R (R^{2} - u^{2} - v^{2}))^{2} = R^{2} (R^{2} - u^{2} - v^{2})^{2}

= 4 R^{2} (R^{2} - u^{2} - v^{2})^{2}