Question

$\frac{-4}{27}xyz(\frac{9}{2}{x}^{2}yz-\frac{3}{4}xy{z}^2)$

Answer 1

$\frac{-4}{27}xyz(\frac{9}{2}{x}^{2}yz-\frac{3}{4}{xyz}^2)$

$=\frac{-4}{27}\times \frac{9}{2}{x}^3{y}^2{z}^2+\frac{4}{27}\times \frac{3}{4}\times x^2{y}^2{z}^3$

$=\frac{-2}{3}{x}^3{y}^2{z}^2+\frac{1}{9}{x}^2{y}^2{z}^3$

$=\frac{1}{3}{x}^2{y}^2{z}^2(\frac{z}{3}-2x)$