化简 6(x^2-1)*(6x-1)/(6(x+1))

解答

化简

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

(x - 1) (6 x - 1)

求解步骤

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

使用分式法则:

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

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

约分:

6

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

因式分解

x^{2} - 1 : (x + 1) (x - 1)

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

约分:

x + 1

= (x - 1) (6 x - 1)

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