Calculate the Sum of Cubes of a Range

1. The Challenge: Summing Cubed Values

Create a function sum_of_cubes(nums) that takes a list of numbers and returns the sum of its cubes (n^3).

2. Why It Matters

Generator expressions paired with sum() enable performing mathematical transformations across datasets without allocating intermediate lists in memory.

3. The Python Solution

Use Python's built-in sum() with a generator expression x**3:

def sum_of_cubes(nums):
    return sum(x**3 for x in nums)

# Testing our function
print(sum_of_cubes([1, 5, 9])) # Output: 855 (1 + 125 + 729)
print(sum_of_cubes([3, 4, 5])) # Output: 216 (27 + 64 + 125)
print(sum_of_cubes([2]))       # Output: 8
print(sum_of_cubes([]))        # Output: 0

4. Exponentiation Operator (**)

In Python, x**3 raises x to the power of 3 (do NOT use x ^ 3, as ^ is Python's bitwise XOR operator!).

5. Common Mistakes

• Bitwise XOR Mistake: Writing x ^ 3 performs bitwise XOR logic, NOT exponentiation! Always use double asterisks x ** 3 or pow(x, 3) for powers in Python.

6. Next Steps

Use ** for exponents and sum() for aggregations. Next, let's check for symmetrical numbers and palindromes!