Let's solve the expression step by step:

\[
(6 + 3)^2 - 6^4 + 5
\]

### Step 1: Simplify the parentheses
\[
6 + 3 = 9
\]
Now the expression becomes:
\[
9^2 - 6^4 + 5
\]

### Step 2: Calculate the powers
\[
9^2 = 81
\]
\[
6^4 = 6 \times 6 \times 6 \times 6 = 1296
\]
Now the expression is:
\[
81 - 1296 + 5
\]

### Step 3: Perform the subtraction and addition
\[
81 - 1296 = -1215
\]
\[
-1215 + 5 = -1210
\]

Thus, the value of the expression is:
\[
\boxed{-1210}
\]

Would you like more details or have any questions?

Here are 5 related questions for practice:
1. Simplify \((7 + 2)^2 - 5^3 + 6\).
2. Evaluate \((5 + 4)^3 - 7^2 + 9\).
3. Calculate \((4 + 6)^2 - 8^3 + 10\).
4. Simplify \((3 + 8)^2 - 4^4 + 2\).
5. Evaluate \((9 + 1)^2 - 5^4 + 7\).

**Tip:** Always follow the order of operations: parentheses, exponents, multiplication/division, and then addition/subtraction (PEMDAS).

Learn how to simplify the mathematical expression (6 + 3)^2 - 6^4 + 5 with step-by-step instructions. This problem covers key arithmetic concepts such as exponentiation and the order of operations (PEMDAS). Suitable for students in Grades 6-8.

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