簡約 (-x/(sqrt(9-x^2)))^2

解

簡約

(- \frac{x}{9 - x ^{2}})^{2}

\frac{x ^{2}}{9 - x ^{2}}

解答ステップ

(- \frac{x}{9 - x ^{2}})^{2}

指数の規則を適用する:

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

(

n

が偶数の場合)

(- \frac{x}{9 - x ^{2}})^{2} = (\frac{x}{9 - x ^{2}})^{2}

= (\frac{x}{9 - x ^{2}})^{2}

指数の規則を適用する:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{x ^{2}}{( 9 - x ^{2} ) ^{2}}

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

= \frac{x ^{2}}{9 - x ^{2}}