The mathematical expression in the uploaded image appears to be:
$\sum_{n=1}^{k} n^3 - k^2$

Would you like me to:

1. Evaluate this expression for specific values of $k$?
2. Provide a general analysis or simplification of this sum?
3. Explain the properties of summations involving $n^3$?

Let me know if you'd like further details on any aspect of this problem! Here are 5 related questions and 1 tip to help you understand the topic better:

Related Questions:

1. What is the formula for the sum of the first $n$ cubes, $\sum_{n=1}^k n^3$?
2. How does the term $k^2$ affect the summation overall?
3. What are the steps to evaluate this sum for a particular value of $k$?
4. How can we derive the formula for $\sum_{n=1}^k n^3$ using mathematical induction?
5. What are the differences between summing $n$, $n^2$, and $n^3$?

Tip:

Summation formulas like $\sum_{n=1}^k n^3$ often reveal patterns in higher-level arithmetic sequences—try exploring their geometric interpretations!