Answer:
(p - 12)(p + 2) or
p^2 - 10p - 24.
Step-by-step explanation:
We use the Difference of 2 Squares Identity.
a^2 - b^2 = (a - b)(a + b).
So (p - 5)^2 - 49
= (p - 5 - 7)(p - 5 + 7)
= (p - 12)(p + 2)
= p^2 - 10p - 24.
(p - 12)(p + 2)
(p-5)² - 49 =
a² - b² = (a - b)(a + b)
a = p - 5
b = 49
