簡約 2(x-1/3)(x-1/5)

解

簡約

2 (x - \frac{1}{3}) (x - \frac{1}{5})

\frac{2 ( 3 x - 1 ) ( 5 x - 1 )}{15}

解答ステップ

2 (x - \frac{1}{3}) (x - \frac{1}{5})

簡素化

x - \frac{1}{3} : \frac{3 x - 1}{3}

= 2 \cdot \frac{3 x - 1}{3} (x - \frac{1}{5})

分数の規則を適用する:

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

= \frac{2 ( 3 x - 1 ) ( x - \frac{1}{5} )}{3}

簡素化

2 (3 x - 1) (x - \frac{1}{5}) : \frac{2 ( 3 x - 1 ) ( x \cdot 5 - 1 )}{5}

= \frac{\frac{2 ( 3 x - 1 ) ( x \cdot 5 - 1 )}{5}}{3}

分数の規則を適用する:

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

= \frac{2 ( 3 x - 1 ) ( x \cdot 5 - 1 )}{5 \cdot 3}

数を乗じる:

5 \cdot 3 = 15

= \frac{2 ( 3 x - 1 ) ( x \cdot 5 - 1 )}{15}

= \frac{2 ( 3 x - 1 ) ( 5 x - 1 )}{15}