化简 (5z-5/8)(5z-1/4)

解答

化简

(5 z - \frac{5}{8}) (5 z - \frac{1}{4})

\frac{( 40 z - 5 ) ( 20 z - 1 )}{32}

求解步骤

(5 z - \frac{5}{8}) (5 z - \frac{1}{4})

合并

5 z - \frac{5}{8} : \frac{40 z - 5}{8}

= \frac{40 z - 5}{8} (5 z - \frac{1}{4})

使用分式法则:

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

= \frac{( 40 z - 5 ) ( 5 z - \frac{1}{4} )}{8}

化简

(40 z - 5) (5 z - \frac{1}{4}) : \frac{( 40 z - 5 ) ( 20 z - 1 )}{4}

= \frac{\frac{( 40 z - 5 ) ( 20 z - 1 )}{4}}{8}

使用分式法则:

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

= \frac{( 40 z - 5 ) ( 20 z - 1 )}{4 \cdot 8}

数字相乘:

4 \cdot 8 = 32

= \frac{( 40 z - 5 ) ( 20 z - 1 )}{32}

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