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Simplify the expression using the order of operations.

[tex]\[
\begin{aligned}
(3 \times 2)^2 + 8 & = \square \\
\square^2 + 8 & = \square \\
\square + 8 & = \square
\end{aligned}
\][/tex]

Sagot :

GinnyAnsweridn
Certainly! Let's simplify the expression following the order of operations (parentheses, exponents, multiplication and division (from left to right), and finally addition and subtraction (from left to right)).

Given expression:
[tex]\[ (3 \times 2)^2 + 8 \][/tex]

Step-by-step solution:

1. Evaluate inside the parentheses:
[tex]\[ 3 \times 2 = 6 \][/tex]

So the expression now looks like:
[tex]\[ (6)^2 + 8 \][/tex]

2. Evaluate the exponentiation:
[tex]\[ 6^2 = 36 \][/tex]

So the expression now is:
[tex]\[ 36 + 8 \][/tex]

3. Add the final terms:
[tex]\[ 36 + 8 = 44 \][/tex]

So, the simplified expression is:
[tex]\[ (3 \times 2)^2 + 8 = 44 \][/tex]
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