The expression shown in the image is:

$x^2 - 3y + 12 \quad \text{for} \quad x = -2 \quad \text{and} \quad y = 5$

Let's evaluate this step by step:

1. Substitute $x = -2$ and $y = 5$ into the expression:

$(-2)^2 - 3(5) + 12$

2. Simplify each term:

• $(-2)^2 = 4$
• $3(5) = 15$

Now the expression becomes:

$4 - 15 + 12$

3. Combine the terms:

$4 - 15 = -11$ $-11 + 12 = 1$

Therefore, the value of the expression is 1.

Would you like further details or have any other questions?

Here are 5 related questions for practice:

1. Evaluate $x^2 - 4y + 15$ for $x = -3$ and $y = 2$.
2. Calculate $x^3 + y^2 - 10$ for $x = 1$ and $y = 4$.
3. Simplify $2x^2 - 5y + 20$ for $x = 0$ and $y = -3$.
4. Find the value of $x^2 - 6y + 18$ when $x = 2$ and $y = 3$.
5. Evaluate $5x + y^2 - 7$ for $x = 3$ and $y = 1$.

Tip: Always apply the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) when evaluating expressions!