Problem

Factor.
\[
36-u^{2}
\]

Answer

Expert–verified
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Answer

Final Answer: The factored form of the expression \(36 - u^{2}\) is \(\boxed{-(u - 6)(u + 6)}\).

Steps

Step 1 :Identify the given expression as a difference of squares problem. The difference of squares formula is \(a^{2} - b^{2} = (a - b)(a + b)\).

Step 2 :In this case, \(a = 6\) and \(b = u\).

Step 3 :Rewrite the expression as \((6 - u)(6 + u)\).

Step 4 :Simplify the expression to get the final answer: \(-(u - 6)(u + 6)\).

Step 5 :Final Answer: The factored form of the expression \(36 - u^{2}\) is \(\boxed{-(u - 6)(u + 6)}\).

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