1. **State the problem:** Solve the equation $ak^2 - xy = 3$ for one of the variables or express it in a useful form. 2. **Understand the equation:** This is an algebraic equation involving variables $a$, $k$, $x$, and $y$. The term $ak^2$ means $a$ times $k$ squared. 3. **Rearrange the equation:** To isolate $xy$, add $xy$ to both sides and subtract 3 from both sides: $$ak^2 - xy = 3 \implies ak^2 - 3 = xy$$ 4. **Express $xy$:** We have $$xy = ak^2 - 3$$ 5. **Interpretation:** This shows the product $xy$ in terms of $a$ and $k$. Without additional information or values, this is the simplest form. **Final answer:** $$xy = ak^2 - 3$$