Answer:
(12f - 1)²
Step-by-step explanation:
Consider the factors of the product of the f² term and the constant term which sum to give the coefficient of the f-term
product = 144 × 1 = 144, sum = - 12
The factors are - 12 and - 12
Use these factors to split the middle term
144f² - 12f - 12f + 1 ( factor the first/second and third/fourth terms )
12f(12f - 1) - 1(12f - 1) ← factor out (12f - 1)
= (12f - 1)(12f - 1) = (12f - 1)²