Thực hiện phép tính \(\left( { - \frac{{10}}{3}{x^2}y{z^3} + \frac{{15}}{2}x{y^3}{z^4} - 5xy{z^2}} \right):\left( {\frac{5}{3}xy{z^2}} \right){\text{ }}\)

* Hướng dẫn giải

 \(\begin{aligned} &\left(-\frac{10}{3} x^{2} y z^{3}+\frac{15}{2} x y^{3} z^{4}-5 x y z^{2}\right):\left(\frac{5}{3} x y z^{2}\right) \\ &=\frac{-\frac{10}{3} x^{2} y z^{3}}{\frac{5}{3} x y z^{2}}+\frac{\frac{15}{2} x y^{3} z^{4}}{\frac{5}{3} x y z^{2}}-\frac{5 x y z^{2}}{\frac{5}{3} x y z^{2}} \\ &=-2 x z+\frac{9}{2} y^{2} z^{2}-3 \end{aligned}\)