Question
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Tutor-Verified Answer
Answer
The expression
can be factored as
.
Solution
-
Recognize the expression as a difference of two squares:
-
Apply the difference of squares formula:Here,
and . -
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!