Tính $\Large \dfrac{a^{\dfrac{5}{3}}\left( a^{\dfrac{-2}{3}}+a^{\dfrac

Tính $\Large \dfrac{a^{\dfrac{5}{3}}\left( a^{\dfrac{-2}{3}}+a^{\dfrac{1}{3}}\right )}{a+1}$, với $\Large a>0$

• A.

  A. $\Large a-1$

• B.

  B. $\Large a^2+1$

• C.

  C. $\Large a$

• D.

  D. $\Large a+1$

Chọn C

$\Large \dfrac{a^{\dfrac{5}{3}}\left(a^{\dfrac{-2}{3}}+a^{\dfrac{1}{3}}\right)}{a+1}=\dfrac{a^{\dfrac{5}{3}}.a^{\dfrac{-2}{3}}+a^{\dfrac{5}{3}}+a^{\dfrac{1}{3}}}{a+1}=\dfrac{a+a^2}{a+1}=a$