Problem

Multiply and add like terms:
\[
(-w-5)^{2}
\]

Answer

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Answer

Final Answer: \(\boxed{w^{2} + 10w + 25}\)

Steps

Step 1 :The given expression is a square of a binomial. The square of a binomial, \((a+b)^{2}\), can be expanded as \(a^{2} + 2ab + b^{2}\). In this case, a is -w and b is -5.

Step 2 :So, we can expand the given expression as \((-w)^{2} + 2*(-w)*(-5) + (-5)^{2}\).

Step 3 :By simplifying the above expression, we get \(w^{2} + 10w + 25\).

Step 4 :Final Answer: \(\boxed{w^{2} + 10w + 25}\)

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