Question
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C:

Ask by Ward Hart. in the United States
Mar 20,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The expression can be factored as .

Solution

  1. Recognize the expression as a difference of two squares:
  2. Apply the difference of squares formula:
    Here, and .
  3. Factor the expression:
Thus, the factored form is:

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Mind Expander

Did you know that the expression is a difference of squares? This means it can be factored efficiently using the formula . Here, you can think of as and as . So, it factors to !
In the real world, this mathematical concept is quite useful! For example, in physics, terms like might relate to projectile motion calculations, where understanding distances and heights can mean the difference between hitting your target or missing it entirely. Plus, factoring can help simplify complex equations that model these real-world scenarios!

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