The expression in the image is:

$-6 + (-6)^2$

Let's solve this step by step:

1. First, calculate $(-6)^2$. The square of $-6$ is: $(-6) \times (-6) = 36$

2. Now, substitute this into the expression: $-6 + 36 = 30$

So, the result of the expression is: $30$

Would you like a detailed breakdown, or do you have any questions?

Here are some related questions to consider:

1. What happens if the sign of the first $-6$ was positive?
2. How would the result change if the exponent were a different number, like 3?
3. What is the difference between squaring a negative number and a positive number?
4. How would you simplify more complex expressions involving exponents and parentheses?
5. What are some common mistakes to avoid when squaring negative numbers?

Tip: When squaring negative numbers, always make sure the negative sign is inside the parentheses to avoid confusion in calculations.