Which expression represents the complete factorization of over the real numbers?

Answer and explanation

Correct answer: C.

.
  1. Step 1: Recognize as a difference of cubes: where and .
  2. Step 2: Recall the difference of cubes identity: .
  3. Step 3: Substitute and :
Answer
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Why not the others: '' uses instead of in the quadratic factor; '' expands to ; '' is the factorization of sum of cubes .

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