morgojohn78
morgojohn78 morgojohn78
  • 21-01-2019
  • Mathematics
contestada

factor 144f^2 – 24f + 1

Respuesta :

jimrgrant1 jimrgrant1
  • 21-01-2019

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


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