化简 (sqrt(x)-1/(2x))^{12}

解答

化简

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

\frac{( 2 x x - 1 ) ^{12}}{4096 x ^{12}}

求解步骤

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

化简

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

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

使用指数法则:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

化简

(2 x)^{12} : 4096 x^{12}

= \frac{( 2 x x - 1 ) ^{12}}{4096 x ^{12}}

e x p an d (x + 3) e^{2}

e x p an d ln (4 x (x + 4)^{3})

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