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Simplify the following expression:

[tex]\[
(2+2)^2 + (6+3) - 4
\][/tex]


Sagot :

Sure, let's break down the expression [tex]\((2^2) + (6+3) - 4\)[/tex] step-by-step.

1. Exponentiation: The first part of the expression involves exponentiation. We calculate [tex]\(2^2\)[/tex], which means 2 raised to the power of 2.
[tex]\[ 2^2 = 2 \times 2 = 4 \][/tex]

2. Addition in Parentheses: Next, we compute the addition within the parentheses [tex]\((6 + 3)\)[/tex].
[tex]\[ 6 + 3 = 9 \][/tex]

3. First Addition: Now, we add the results from the first two steps together.
[tex]\[ 4 + 9 = 13 \][/tex]

4. Subtraction: Finally, we subtract 4 from the result of the addition.
[tex]\[ 13 - 4 = 9 \][/tex]

Therefore, the detailed solution of [tex]\((2^2) + (6+3) - 4\)[/tex] results in:
[tex]\[ \boxed{9} \][/tex]