### Instruction: If $x \cdot (x+y) = x^2 + 8$, what is the value of $xy$?### Response: To solve for $xy$, I need to isolate it on one side of the equation.
I notice that the left side of the equation can be simplified by distributing $x$.
I get $x^2 + xy = x^2 + 8$.
Now I can subtract $x^2$ from both sides to get $xy = 8$.
That's the answer.