The expression \((x + 2) \cdot 5^2\) can be simplified by first evaluating the exponent and then multiplying the result by \((x + 2)\).

Here are the steps:

1. Evaluate \(5^2\):
   \[
   5^2 = 25
   \]

2. Multiply the result by \((x + 2)\):
   \[
   (x + 2) \cdot 25 = 25(x + 2)
   \]

3. Distribute the \(25\) across the terms inside the parentheses:
   \[
   25(x + 2) = 25x + 50
   \]

So, the simplified expression is \(25x + 50\).

Would you like more details or have any questions?

Here are some related questions:
1. How would you simplify \((x - 3) \cdot 7^2\)?
2. What is the value of \(25(x + 2)\) when \(x = 4\)?
3. How do you factor the expression \(25x + 50\) back into its original form?
4. Can you solve the equation \(25x + 50 = 0\) for \(x\)?
5. How would the expression change if the exponent were \(3\) instead of \(2\)?

**Tip:** Always perform exponentiation before multiplication or distribution when simplifying expressions.

Learn how to simplify the expression (x + 2) * 5^2 step-by-step. This problem involves exponentiation and multiplication of polynomials, suitable for Grades 7-9.

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