Sure! Let's break down the expression step-by-step:
### Step 1: Evaluating the Exponentiation
First, let's evaluate the exponentiation [tex]\((-3)^2\)[/tex].
[tex]\[
(-3)^2 = (-3) \times (-3) = 9
\][/tex]
### Step 2: Multiplying by 4
Next, we multiply the result by 4.
[tex]\[
4 \times 9 = 36
\][/tex]
This is the first part of our expression.
### Step 3: Second Multiplication
Next, we move on to the second part of the expression, which is multiplying 3 by 2.
[tex]\[
3 \times 2 = 6
\][/tex]
### Step 4: Adding Both Parts Together
Finally, we add the results of both parts together:
[tex]\[
36 + 6 = 42
\][/tex]
### Conclusion
Therefore, the value of the expression [tex]\(4 \cdot (-3)^2 + 3 \cdot 2\)[/tex] is:
[tex]\[
\boxed{42}
\][/tex]
