Chapter 8.3, Problem 15PPE

To determine

To simplify:The given expression $\left(a-1\right)\left(a-11\right)$ using a table.

Answer to Problem 15PPE

The simplest form of given expression is $a^2-12a+11.$

Explanation of Solution

Given information :

Givenexpression $\left(a-1\right)\left(a-11\right)$

The table for product of $\left(a-1\right)$ and $\left(a-11\right)$ is

$\times$	$a$	$-1$
$a$	$a^2$	$-a$
$-11$	$-11a$	$11$

Therefore, the product of $\left(a-1\right)$ and $\left(a-11\right)$ is $a^2-a-11a+11=a^2-12a+11$

Hence, the simplest form of given expression is $a^2-12a+11.$