Mathematical Magic: Uncover the secrets behind this complex expression!

Get ready to put your algebraic skills to the test! In today's video, we're tackling a monstrous expression that will push your problem-solving abilities to the limit.
The expression is:
[(a^2-b^2)^3 + (b^2-c^2)^3 + (c^2-a^2)^3]÷[(a-b)^3 + (b-c)^3 + (c-a)^3]
Your task is to simplify this complex expression, using your knowledge of algebraic identities, factoring, and clever manipulations.
This problem requires patience, persistence, and a deep understanding of algebraic concepts. But don't worry, we'll break it down step by step and provide clear explanations to help you along the way.
So, take a deep breath, grab your pen and paper, and let's dive into this mathematical adventure!
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