簡約 (7x-1/2)(7x+1/2)

解

簡約

(7 x - \frac{1}{2}) (7 x + \frac{1}{2})

\frac{( 14 x - 1 ) ( 14 x + 1 )}{4}

解答ステップ

(7 x - \frac{1}{2}) (7 x + \frac{1}{2})

結合

7 x - \frac{1}{2} : \frac{14 x - 1}{2}

= \frac{14 x - 1}{2} (7 x + \frac{1}{2})

分数の規則を適用する:

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

= \frac{( 14 x - 1 ) ( 7 x + \frac{1}{2} )}{2}

簡素化

(14 x - 1) (7 x + \frac{1}{2}) : \frac{( 14 x - 1 ) ( 14 x + 1 )}{2}

= \frac{\frac{( 14 x - 1 ) ( 14 x + 1 )}{2}}{2}

分数の規則を適用する:

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

= \frac{( 14 x - 1 ) ( 14 x + 1 )}{2 \cdot 2}

数を乗じる:

2 \cdot 2 = 4

= \frac{( 14 x - 1 ) ( 14 x + 1 )}{4}