展开 log_{4}(2)x^2(x+1)

解答

展开

lo g_{4} (2) x^{2} (x + 1)

\frac{1}{2} x^{3} + \frac{1}{2} x^{2}

求解步骤

lo g_{4} (2) x^{2} (x + 1)

使用分配律:

a (b + c) = ab + a c

lo g_{4} (2) x^{2} (x + 1) = lo g_{4} (2) x^{2} x + lo g_{4} (2) x^{2} \cdot 1

= lo g_{4} (2) x^{2} x + lo g_{4} (2) x^{2} \cdot 1

化简

lo g_{4} (2) x^{2} x + lo g_{4} (2) x^{2} \cdot 1 : \frac{1}{2} x^{3} + \frac{1}{2} x^{2}

= \frac{1}{2} x^{3} + \frac{1}{2} x^{2}

e x p an d - \frac{4}{s ( s ^{2} - 2 s )}

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s im pl i f y (1 + i 3)^{10}

s im pl i f y (1 + 4 x)^{2}

s im pl i f y (3 x^{2} - \frac{1}{10}) (3 x^{2} + \frac{1}{10})