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

Câu hỏi :

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

A.  \(- x z+\frac{9}{2} y^{2} z^{2}-3\)

B.  \(-2 x z+\frac{9}{2} y^{2} z^{2}-3\)

C.  \(-2 x z+3y^{2} z^{2}-3\)

D.  \(-2 x z+\frac{1}{2} y^{2} z^{2}-3\)

* Đáp án

B

* Hướng dẫn giải

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

Copyright © 2021 HOCTAP247