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Factor.

Ask by Dunn Henry. in the United States
Mar 14,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The expression factors to .

Solution

Factor the expression .
Factor the expression by following steps:
  • step0: Factor:
  • step1: Rewrite the expression:
  • step2: Factor the expression:
  • step3: Evaluate:

    The factored form of the expression is .

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

The Deep Dive

To factor the expression , we can recognize that this represents a difference of cubes. Remember that and , so we can rewrite the expression as:
Using the difference of cubes formula, which states , we identify and . Substituting these into the formula gives us:
  1. The first factor is .
  2. The second factor is :
Putting it all together, we have:
So, the final factored form of is:

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