https://file.aiquickdraw.com/mathbot/file/17256863800531p3gyqhh.jpg

The expression in the image reads:

\[
x^2 - 5 + (x + 10)^2
\]
You are asked to evaluate it at \(x = -2\).

Let's break it down and compute the value step by step.

1. First, substitute \(x = -2\) into the expression:
   \[
   (-2)^2 - 5 + ((-2) + 10)^2
   \]

2. Simplify the individual components:
   - \((-2)^2 = 4\)
   - \((-2) + 10 = 8\), so \((8)^2 = 64\)

3. Now the expression becomes:
   \[
   4 - 5 + 64
   \]

4. Perform the arithmetic:
   \[
   4 - 5 = -1
   \]
   \[
   -1 + 64 = 63
   \]

Thus, the value of the expression at \(x = -2\) is **63**.

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you simplify expressions with exponents?
2. What is the general rule for squaring negative numbers?
3. How would this expression change if the value of \(x\) were different?
4. What is the difference between a binomial and a monomial expression?
5. How can we apply the distributive property in expressions like this?

**Tip:** Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) when simplifying mathematical expressions.

Evaluate the expression x^2 - 5 + (x + 10)^2 at x = -2.

Learn how to evaluate the algebraic expression x^2 - 5 + (x + 10)^2 at x = -2 with a step-by-step solution. This problem covers key algebraic concepts including exponents and arithmetic operations. Suitable for students in Grades 7-9.

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