展开 1/(\sqrt[3]{1+x^2)}

解答

展开

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

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

求解步骤

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

乘以共轭根式

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

= \frac{1 \cdot ( 1 + x ^{2} ) ^{\frac{2}{3}}}{3 1 + x ^{2} ( 1 + x ^{2} ) ^{\frac{2}{3}}}

1 \cdot (1 + x^{2})^{\frac{2}{3}} = (1 + x^{2})^{\frac{2}{3}}

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

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

s im pl i f y (4 y + \frac{1}{6}) (4 y - \frac{1}{6})

e x p an d 0.05 (1 - \frac{4 , 0}{84000 , 0})

e x p an d ln (3 x + 1)

e x p an d \frac{3678 ( z + 7189 )}{( z - 1 ) ( z - 3680 )}

e x p an d 4 t (4 t^{3} - 36 t)