化简 2(x-1/3)(x-1/5)

解答

化简

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

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

求解步骤

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

化简

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

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

使用分式法则:

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

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

化简

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}

使用分式法则:

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

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

数字相乘:

5 \cdot 3 = 15

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

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

\frac{d ^{2}}{d x ^{2}} ((y) (x^{2} + 2 y^{2}))

e x p an d e^{5 t} (2 t^{2} - 3 t + t^{5})

e x p an d co tan (\frac{2}{11} + \frac{24}{7})

e x p an d \frac{f ( x ) ( x ^{2} + 2 x - 1 )}{x + 3}

s im pl i f y (z - 1) \cdot (z - \frac{4}{5})