簡約 q(x-(2l)/5)(x-l/5)

解

簡約

q (x - \frac{2 l}{5}) (x - \frac{l}{5})

\frac{q ( 5 x - 2 l ) ( 5 x - l )}{25}

解答ステップ

q (x - \frac{2 l}{5}) (x - \frac{l}{5})

簡素化

x - \frac{2 l}{5} : \frac{5 x - 2 l}{5}

= q \frac{5 x - 2 l}{5} (x - \frac{l}{5})

分数の規則を適用する:

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

= \frac{q ( 5 x - 2 l ) ( x - \frac{l}{5} )}{5}

簡素化

q (5 x - 2 l) (x - \frac{l}{5}) : \frac{q ( 5 x - 2 l ) ( x \cdot 5 - l )}{5}

= \frac{\frac{q ( 5 x - 2 l ) ( x \cdot 5 - l )}{5}}{5}

分数の規則を適用する:

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

= \frac{q ( 5 x - 2 l ) ( x \cdot 5 - l )}{5 \cdot 5}

数を乗じる:

5 \cdot 5 = 25

= \frac{q ( 5 x - 2 l ) ( x \cdot 5 - l )}{25}

= \frac{q ( 5 x - 2 l ) ( 5 x - l )}{25}