Question
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Factor:

Ask by Weston Rojas. in the United States
Dec 03,2024

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solution

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

    The factored form of is .

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The Deep Dive

To factor the expression , we first notice that both terms share a common factor of . Factoring out gives us:
Next, we observe that and can be recognized as a difference of cubes since and . We can use the factorization formula for the difference of cubes, which states that .
Here, we identify and :
Simplifying this yields:
Now, substituting this back into our earlier expression gives us the complete factorization:

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