Final answer:
The expression (13+2)(13-2) simplifies using the difference of squares formula to 13² - 2², which equals 165. The correct equivalent expression is option c, 13² - 2².
Step-by-step explanation:
The expression (13+2)(13-2) is an example of the difference of squares formula, which states that for any two values a and b, (a+b)(a-b) = a² - b². Using this formula, we can simplify the expression:
(13+2)(13-2) = 13² - 2²
13² represents 13 squared, which is 169, and 2² represents 2 squared, which is 4. Therefore, the expression simplifies to:
169 - 4 = 165
The equivalent expression is 13² - 2², which corresponds to option c.