Let's analyze the expression provided in the image.

You are asked to evaluate the following expression given that $x = 4$ and $y = 3$:

$x + (x^2 - xy) - y$

Substituting the values of $x = 4$ and $y = 3$:

$4 + (4^2 - 4 \cdot 3) - 3$

Let's simplify step by step:

1. First calculate $4^2 = 16$.
2. Next, calculate $4 \cdot 3 = 12$.
3. Now substitute these values into the expression:

$4 + (16 - 12) - 3$

4. Simplify the inner parentheses: $16 - 12 = 4$.

Now the expression becomes:

$4 + 4 - 3$

5. Finally, simplify:

$8 - 3 = 5$

So, the value of the expression is 5.

Would you like more details or have any questions?

Here are some related questions:

1. How do you evaluate more complex algebraic expressions?
2. What are the steps for simplifying algebraic expressions with exponents?
3. How does substituting values into an expression affect the solution?
4. Can you simplify a similar expression involving multiplication and addition?
5. How do you handle negative values in algebraic expressions?

Tip: Always double-check your arithmetic when simplifying expressions to avoid mistakes!