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].
