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Calculate:
[tex]\[ 4 \cdot (-3)^2 + 3 \cdot 2 \][/tex]

Sagot :

GinnyAnswer
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]
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