racheltampa racheltampa
  • 14-01-2019
  • Mathematics
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factor completely 9r^2 + 30r+25

Respuesta :

imlittlestar
imlittlestar imlittlestar
  • 14-01-2019

Answer:

9r^2 + 30r+25 = (3r + 5)²

Step-by-step explanation:

It is given a quadratic equation,

9r^2 + 30r+25 ------(1)

a = 9, b = 30 and c = 25

ac 9 x 25 = 225 = 15 x 15

Splitting middle term

9r^2 + 30r+25 ------(1)

⇒ 9r^2 + 15r + 15r + 25

⇒ 3r(3r + 5) + 5(3r + 5)

⇒ (3r + 5)(3r + 5) = (3r + 5)²




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