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受欢迎的代数 >

化简 (x-1/2)(x^2-x+1/6)

解答

化简

(x - \frac{1}{2}) (x^{2} - x + \frac{1}{6})

解答

\frac{( 2 x - 1 ) ( 6 x ^{2} - 6 x + 1 )}{12}

求解步骤

(x - \frac{1}{2}) (x^{2} - x + \frac{1}{6})

化简

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

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

使用分式法则:

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

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

化简

(2 x - 1) (x^{2} - x + \frac{1}{6}) : \frac{( 2 x - 1 ) ( x ^{2} \cdot 6 - x \cdot 6 + 1 )}{6}

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

使用分式法则:

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

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

数字相乘:

6 \cdot 2 = 12

= \frac{( 2 x - 1 ) ( x ^{2} \cdot 6 - x \cdot 6 + 1 )}{12}

= \frac{( 2 x - 1 ) ( 6 x ^{2} - 6 x + 1 )}{12}

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