Math  /  Algebra

QuestionFactor. s236s^{2}-36
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. s236=s^{2}-36= \square (Factor completely.) B. The polynomial is prime.

Studdy Solution
Apply the difference of squares formula, which states that a2b2=(ab)(a+b) a^2 - b^2 = (a - b)(a + b) .
s262=(s6)(s+6) s^2 - 6^2 = (s - 6)(s + 6)
The expression is factored completely as:
(s6)(s+6) \boxed{(s - 6)(s + 6)}
Thus, the correct choice is:
A. s236=(s6)(s+6) s^2 - 36 = (s - 6)(s + 6)

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