Question

Find the following product:
$\frac{7}{5}{x}^{2}y\left(\frac{3}{5}x{y}^2+\frac{2}{5}x\right)$

Answer 1

To find the product, we will use distributive law as follows:

$$\begin{gathered} \frac{7}{5}{x}^{2}y\left(\frac{3}{5}x{y}^2+\frac{2}{5}x\right) \\ =\frac{7}{5}{x}^{2}y\times \frac{3}{5}x{y}^2+\frac{7}{5}{x}^{2}y\times \frac{2}{5}x \\ =\frac{21}{25}{x}^{2+1}{y}^{1+2}+\frac{14}{25}{x}^{2+1}y \\ =\frac{21}{25}{x}^3{y}^3+\frac{14}{25}{x}^{3}y \end{gathered}$$

Thus, the answer is $\frac{21}{25}{x}^3{y}^3+\frac{14}{25}{x}^{3}y$.