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Evaluate this exponential expression:
[tex]\[ 6 \cdot (4+2)^2 - 3^2 \][/tex]

A. 63
B. 19
C. 66
D. 207


Sagot :

To evaluate the expression \( 6 \cdot (4 + 2)^2 - 3^2 \), we will solve it step by step, respecting the order of operations (parentheses, exponents, multiplication and division, and addition and subtraction — PEMDAS).

1. Evaluate the expression inside the parentheses first:
[tex]\[ 4 + 2 = 6 \][/tex]

2. Next, handle the exponentiation within the expression:
[tex]\[ (4 + 2)^2 = 6^2 = 36 \][/tex]

3. Now, multiply 6 by the result of the square:
[tex]\[ 6 \cdot 36 = 216 \][/tex]

4. Evaluate the other exponentiation:
[tex]\[ 3^2 = 9 \][/tex]

5. Finally, subtract the result of \( 3^2 \) from the result of \( 6 \cdot 36 \):
[tex]\[ 216 - 9 = 207 \][/tex]

The final result is \( 207 \).

Thus, the correct answer is [tex]\( \boxed{207} \)[/tex].