Answer:
see explanation
Step-by-step explanation:
A difference of 2 squares factors in general as
a² - b² = (a - b)(a + b)
(x - 1)² - 25 ← is a difference of squares
with a = x - 1 and b = 5, thus
(x - 1)² - 25
=(x - 1 - 5)(x - 1 + 5) = (x - 6)(x + 4), then
(x - 6)(x + 4) = 0
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 4 = 0 ⇒ x = - 4
Solutions are x = - 4, x = 6
