化简 (3x+4/5)(3x-4/5)

解答

化简

(3 x + \frac{4}{5}) (3 x - \frac{4}{5})

\frac{( 15 x + 4 ) ( 15 x - 4 )}{25}

求解步骤

(3 x + \frac{4}{5}) (3 x - \frac{4}{5})

合并

3 x + \frac{4}{5} : \frac{15 x + 4}{5}

= \frac{15 x + 4}{5} (3 x - \frac{4}{5})

使用分式法则:

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

= \frac{( 15 x + 4 ) ( 3 x - \frac{4}{5} )}{5}

化简

(15 x + 4) (3 x - \frac{4}{5}) : \frac{( 15 x + 4 ) ( 15 x - 4 )}{5}

= \frac{\frac{( 15 x + 4 ) ( 15 x - 4 )}{5}}{5}

使用分式法则:

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

= \frac{( 15 x + 4 ) ( 15 x - 4 )}{5 \cdot 5}

数字相乘:

5 \cdot 5 = 25

= \frac{( 15 x + 4 ) ( 15 x - 4 )}{25}

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