Question

Multiply the following :

$(xy+yz+zx)$by $x^{2}y{z}^2$

Answer 1

$$\begin{gathered} =(xy+yz+zx)\left(x^{2}y{z}^2\right) \\ =xy\left(x^{2}y{z}^2\right)+yz\left(x^{2}y{z}^2\right)+zx\left(x^{2}y{z}^2\right) \\ =x^3{y}^2{z}^2+x^2{y}^2{z}^3+x^3{y}^2{z}^2 \end{gathered}$$