化简 (x-1/2)*(x-1/3)

解答

化简

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

\frac{( 2 x - 1 ) ( 3 x - 1 )}{6}

求解步骤

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

化简

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

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

使用分式法则:

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

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

化简

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

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

使用分式法则:

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

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

数字相乘:

3 \cdot 2 = 6

= \frac{( 2 x - 1 ) ( x \cdot 3 - 1 )}{6}

= \frac{( 2 x - 1 ) ( 3 x - 1 )}{6}

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