展开 (2x-6)/(3(x^2-6x+5)^{2/3)}

解答

展开

\frac{2 x - 6}{3 ( x ^{2} - 6 x + 5 ) ^{\frac{2}{3}}}

\frac{2 x}{3 ( x ^{2} - 6 x + 5 ) ^{\frac{2}{3}}} - \frac{2}{( x ^{2} - 6 x + 5 ) ^{\frac{2}{3}}}

求解步骤

\frac{2 x - 6}{3 ( x ^{2} - 6 x + 5 ) ^{\frac{2}{3}}}

使用分式法则:

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

\frac{2 x - 6}{3 ( x ^{2} - 6 x + 5 ) ^{\frac{2}{3}}} = \frac{2 x}{3 ( x ^{2} - 6 x + 5 ) ^{\frac{2}{3}}} - \frac{6}{3 ( x ^{2} - 6 x + 5 ) ^{\frac{2}{3}}}

= \frac{2 x}{3 ( x ^{2} - 6 x + 5 ) ^{\frac{2}{3}}} - \frac{6}{3 ( x ^{2} - 6 x + 5 ) ^{\frac{2}{3}}}

数字相除:

\frac{6}{3} = 2

= \frac{2 x}{3 ( x ^{2} - 6 x + 5 ) ^{\frac{2}{3}}} - \frac{2}{( x ^{2} - 6 x + 5 ) ^{\frac{2}{3}}}

s im pl i f y (3 x + 1) (3 x - 7 x + 8)

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e x p an d (3 x - \frac{1}{3})^{3}

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