化简 (4x+1/4)(4x-1/4)

解答

化简

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

\frac{( 16 x + 1 ) ( 16 x - 1 )}{16}

求解步骤

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

合并

4 x + \frac{1}{4} : \frac{16 x + 1}{4}

= \frac{16 x + 1}{4} (4 x - \frac{1}{4})

使用分式法则:

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

= \frac{( 16 x + 1 ) ( 4 x - \frac{1}{4} )}{4}

化简

(16 x + 1) (4 x - \frac{1}{4}) : \frac{( 16 x + 1 ) ( 16 x - 1 )}{4}

= \frac{\frac{( 16 x + 1 ) ( 16 x - 1 )}{4}}{4}

使用分式法则:

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

= \frac{( 16 x + 1 ) ( 16 x - 1 )}{4 \cdot 4}

数字相乘:

4 \cdot 4 = 16

= \frac{( 16 x + 1 ) ( 16 x - 1 )}{16}

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