化简 (x+1/4)(x-1/2)

解答

化简

(x + \frac{1}{4}) (x - \frac{1}{2})

\frac{( 4 x + 1 ) ( 2 x - 1 )}{8}

求解步骤

(x + \frac{1}{4}) (x - \frac{1}{2})

化简

x + \frac{1}{4} : \frac{4 x + 1}{4}

= \frac{4 x + 1}{4} (x - \frac{1}{2})

使用分式法则:

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

= \frac{( 4 x + 1 ) ( x - \frac{1}{2} )}{4}

化简

(4 x + 1) (x - \frac{1}{2}) : \frac{( 4 x + 1 ) ( x \cdot 2 - 1 )}{2}

= \frac{\frac{( 4 x + 1 ) ( x \cdot 2 - 1 )}{2}}{4}

使用分式法则:

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

= \frac{( 4 x + 1 ) ( x \cdot 2 - 1 )}{2 \cdot 4}

数字相乘:

2 \cdot 4 = 8

= \frac{( 4 x + 1 ) ( x \cdot 2 - 1 )}{8}

= \frac{( 4 x + 1 ) ( 2 x - 1 )}{8}

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