Answer :

Let's break down and evaluate the expression step-by-step:

First, we need to evaluate the components of the expression separately:

1. Calculate [tex]\( 20^2 \)[/tex]:
[tex]\[ 20^2 = 400 \][/tex]

2. Next, inside the parentheses, add the values 9 and 3:
[tex]\[ 9 + 3 = 12 \][/tex]

3. Multiply the result by 6:
[tex]\[ 6 \times 12 = 72 \][/tex]

Once we have these individual results, we can add them together:

4. Add [tex]\( 20^2 \)[/tex] and [tex]\( 6(9 + 3) \)[/tex]:
[tex]\[ 400 + 72 = 472 \][/tex]

So, the value of the expression [tex]\( 20^2 + 6(9 + 3) = 472 \)[/tex].