簡約 (3x^2-1/10)(3x^2+1/10)

解

簡約

(3 x^{2} - \frac{1}{10}) (3 x^{2} + \frac{1}{10})

\frac{( 30 x ^{2} - 1 ) ( 30 x ^{2} + 1 )}{100}

解答ステップ

(3 x^{2} - \frac{1}{10}) (3 x^{2} + \frac{1}{10})

結合

3 x^{2} - \frac{1}{10} : \frac{30 x ^{2} - 1}{10}

= \frac{30 x ^{2} - 1}{10} (3 x^{2} + \frac{1}{10})

分数の規則を適用する:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( 30 x ^{2} - 1 ) ( 3 x ^{2} + \frac{1}{10} )}{10}

簡素化

(30 x^{2} - 1) (3 x^{2} + \frac{1}{10}) : \frac{( 30 x ^{2} - 1 ) ( 30 x ^{2} + 1 )}{10}

= \frac{\frac{( 30 x ^{2} - 1 ) ( 30 x ^{2} + 1 )}{10}}{10}

分数の規則を適用する:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{( 30 x ^{2} - 1 ) ( 30 x ^{2} + 1 )}{10 \cdot 10}

数を乗じる:

10 \cdot 10 = 100

= \frac{( 30 x ^{2} - 1 ) ( 30 x ^{2} + 1 )}{100}