Sure, let's evaluate the given expression step by step:
[tex]\[ 20^2 + 6(9 + 3) \][/tex]
1. Evaluate [tex]\( 20^2 \)[/tex]:
[tex]\[ 20^2 = 400 \][/tex]
2. Evaluate the expression inside the parentheses [tex]\( 9 + 3 \)[/tex]:
[tex]\[ 9 + 3 = 12 \][/tex]
3. Multiply the result from step 2 by 6:
[tex]\[ 6 \times 12 = 72 \][/tex]
4. Sum the results from steps 1 and 3:
[tex]\[ 400 + 72 \][/tex]
So, the evaluated expression is:
[tex]\[ 400 + 72 = 472 \][/tex]
Therefore, the value of the expression [tex]\( 20^2 + 6(9 + 3) \)[/tex] is:
[tex]\[ \boxed{472} \][/tex]
