Chapter 4.5, Problem 11WE

To determine

The multiplication of two expressions $a^{2}b-3a{b}^2+5b^3$ and $-2ab$ by using the vertical form.

Answer to Problem 11WE

  $-2a^3{b}^2+6a^2{b}^3-10a{b}^4$

Explanation of Solution

Given information : Two expressions:

  $\underset{\_}{\begin{array}{l}{a}^{2}b-3a{b}^2+5b^3\\ -2ab\end{array}}$

By using vertical form multiplication,

Firstly, we will multiply the ( $a^{2}b-3a{b}^2+5b^3$ ) with $-2ab$

  $\begin{array}{l}\underset{\_}{\begin{array}{l}{a}^{2}b-3a{b}^2+5b^3\\ -2ab\end{array}}\\ -2a^3{b}^2+6a^2{b}^3-10a{b}^4\end{array}$