簡約 (ucos(θ)-(ua^2cos(θ))/(r^2))^2

解

簡約

(u cos (θ) - \frac{u a ^{2} cos ( θ )}{r ^{2}})^{2}

\frac{( u cos ( θ ) r ^{2} - u a ^{2} cos ( θ ) ) ^{2}}{r ^{4}}

解答ステップ

(u cos (θ) - \frac{u a ^{2} cos ( θ )}{r ^{2}})^{2}

結合

u cos (θ) - \frac{u a ^{2} cos ( θ )}{r ^{2}} : \frac{u cos ( θ ) r ^{2} - u a ^{2} cos ( θ )}{r ^{2}}

= (\frac{u cos ( θ ) r ^{2} - u a ^{2} cos ( θ )}{r ^{2}})^{2}

指数の規則を適用する:

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

= \frac{( u cos ( θ ) r ^{2} - u a ^{2} cos ( θ ) ) ^{2}}{( r ^{2} ) ^{2}}

簡素化

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

= \frac{( u cos ( θ ) r ^{2} - u a ^{2} cos ( θ ) ) ^{2}}{r ^{4}}