簡約 ((d^2}{4r^2}-\frac{dcos(θ))/r)^3

解

簡約

(\frac{d ^{2}}{4 r ^{2}} - \frac{d cos ( θ )}{r})^{3}

\frac{( d ^{2} - 4 d cos ( θ ) r ) ^{3}}{64 r ^{6}}

解答ステップ

(\frac{d ^{2}}{4 r ^{2}} - \frac{d cos ( θ )}{r})^{3}

簡素化

\frac{d ^{2}}{4 r ^{2}} - \frac{d cos ( θ )}{r} : \frac{d ^{2} - 4 d cos ( θ ) r}{4 r ^{2}}

= (\frac{d ^{2} - 4 d cos ( θ ) r}{4 r ^{2}})^{3}

指数の規則を適用する:

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

= \frac{( d ^{2} - 4 d cos ( θ ) r ) ^{3}}{( 4 r ^{2} ) ^{3}}

簡素化

(4 r^{2})^{3} : 64 r^{6}

= \frac{( d ^{2} - 4 d cos ( θ ) r ) ^{3}}{64 r ^{6}}