Question

Describe in order the steps you would take to evaluate the expression

$12{(x-3)}^{2}whenx=5$

Short answer

The value of expression is 48

Step-by-step solution

Step-1 – Substitute x by 5

To evaluate the expression substitute 5 for x and solve further as shown below

$12{(x-3)}^2=12{(5-3)}^2$

Step-2 – Now subtract 3 from the equations

In the expression we subtract 3 from the equation

$\begin{array}{c}12{(x-3)}^2=12{(5-3)}^2\\ 12{(x-3)}^2=12{\left(2\right)}^2\end{array}$

Step-3 – Square and multiply

Now firstly square and multiply the outcome

$\begin{array}{l}12{(x-3)}^2=12{(5-3)}^2\\ 12{(x-3)}^2=12{\left(2\right)}^2\\ 12{(x-3)}^2=12\left(4\right)\\ 12{(x-3)}^2=48\end{array}$

So, the value of the expression is 48.