Chapter 8.3, Problem 19PPE

To determine

To simplify the given expression $\left(3p+4\right)\left(2p+5\right)$ using a table.

Answer to Problem 19PPE

The simplest form of given expression is $6p^2+23p+20.$

Explanation of Solution

Given information:

Given expression $\left(3p+4\right)\left(2p+5\right)$

The table for product of $\left(3p+4\right)\text{and}\left(2p+5\right)\text{is}$

$\times$	$3p$	$4$
$2p$	$6p^2$	$8p$
$5$	$15p$	$20$

Therefore, the product of $\left(3p+4\right)\text{and}\left(2p+5\right)\text{is}6p^2+8p+15p+20\text{or}6p^2+23p+20.$

Hence, the simplest form of given expression is $6p^2+23p+20.$