Chapter 4.5, Problem 12WE

To determine

The multiplication of two expressions $2p^3-5p^{2}q-3p{q}^2$ and $3q^2$ by using the vertical form.

Answer to Problem 12WE

  $6p^3{q}^2-15p^2{q}^3-9p{q}^4$

Explanation of Solution

Given information : Two expressions:

  $\underset{\_}{\begin{array}{l}2p^3-5p^{2}q-3p{q}^2\\ 3q^2\end{array}}$

By using vertical form multiplication,

Firstly, we will multiply the ( $2p^3-5p^{2}q-3p{q}^2$ ) with $3q^2$

  $\begin{array}{l}\underset{\_}{\begin{array}{l}2p^3-5p^{2}q-3p{q}^2\\ 3q^2\end{array}}\\ 6p^3{q}^2-15p^2{q}^3-9p{q}^4\end{array}$