brandandavis123
brandandavis123 brandandavis123
  • 07-12-2019
  • Mathematics
contestada

Factor 9y2 - 12y + 4.

(3 y - 2)(3 y + 2)
(3 y - 4)( y + 1)
(3 y - 2) 2

Respuesta :

jimrgrant1 jimrgrant1
  • 07-12-2019

Answer:

(y - 2)²

Step-by-step explanation:

9y² - 12y + 4 ← is a perfect square of the form

(ax - b)² = a²x² - 2abx + b²

Compare like terms with 9y² - 12y + 4, thus

a² = 9 ⇒ a = 3

b² = 4 ⇒ b = 2 and

- 2ab = - 2 × 3 × 2 = - 12

Thus

9y² - 12y + 4 = (3y - 2)²

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