簡約 (3x^2-1/(12x^2))^2

解

簡約

(3 x^{2} - \frac{1}{12 x ^{2}})^{2}

\frac{( 36 x ^{4} - 1 ) ^{2}}{144 x ^{4}}

解答ステップ

(3 x^{2} - \frac{1}{12 x ^{2}})^{2}

結合

3 x^{2} - \frac{1}{12 x ^{2}} : \frac{36 x ^{4} - 1}{12 x ^{2}}

= (\frac{36 x ^{4} - 1}{12 x ^{2}})^{2}

指数の規則を適用する:

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

= \frac{( 36 x ^{4} - 1 ) ^{2}}{( 12 x ^{2} ) ^{2}}

簡素化

(12 x^{2})^{2} : 144 x^{4}

= \frac{( 36 x ^{4} - 1 ) ^{2}}{144 x ^{4}}