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To factor
, we can view it as a perfect square trinomial. Observe that
,
, and
. Therefore, it can be rewritten as:
So,
.
For a real-world application, this kind of polynomial factoring is often used in various fields like engineering and physics. For example, when analyzing the stress on materials, you might encounter equations similar to this that describe curves or areas under certain conditions. By factoring those equations, you can simplify the process of finding solutions or optimizing designs, making your work a lot smoother!