Chapter 1.3, Problem 2E

To determine

To calculate: the value of expression $12{\left(x-3\right)}^2$ when $x=5$ .

Answer to Problem 2E

The value of expression $12{\left(x-3\right)}^2$ is48when $x=5$ .

Explanation of Solution

Given information : consider, the expression provided in the question,

  $12{\left(x-3\right)}^2$ .

Calculation : to evaluate the expression, it is needed to substitute x by5then subtract 3 from 5 and square the result after that multiply the result by 12.

$\begin{array}{l}$ 12{\left(x-3\right)}^2=12{(5-3)}^2$$ 12{\left(x-3\right)}^2=12{(2)}^2$12{\left(x-3\right)}^2=12(4)\\ 12{\left(x-3\right)}^2=48\end{array}$ [subtract, square and multiply]

Hence,

Thus, The value of expression $12{\left(x-3\right)}^2$ is 48 when $x=5$ .