Problem

Factor completely:
\[
49-t^{2}=
\]

Answer

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Answer

\(\boxed{(7 - t)(7 + t)}\) is the final answer

Steps

Step 1 :Given expression is \(49 - t^2\)

Step 2 :This is a difference of squares, which is a special case in algebra where the expression \(a^2 - b^2\) can be factored into \((a - b)(a + b)\)

Step 3 :Here, \(a = 7\) (since \(7^2 = 49\)) and \(b = t\) (since \(t^2 = t^2\))

Step 4 :So, the expression \(49 - t^2\) can be factored as \((7 - t)(7 + t)\)

Step 5 :\(\boxed{(7 - t)(7 + t)}\) is the final answer

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