gabriellax3 gabriellax3
  • 16-01-2018
  • Mathematics
contestada

Factor 4(3x + 1)2 − 5(3x + 1) + 1 completely.

Respuesta :

MrBillDoesMath MrBillDoesMath
  • 09-01-2019

Hello from MrBillDoesMath!


Answer:

9x (4x+1)

Discussion:

4(3x+1)^2 - 5(3x+1) + 1

Let u = 3x + 1, then the equation becomes the quadratic:

4u^2 - 5u +1 = (4u-1) (u-1)

Replacing "u" by its x expression gives

(4 ( 3x+1) -1) ( (3x+1) -1 ) =

(12x + 4 -1 ) (3x) =

3x (12x + 3) =

Factor 3 from each term in the parentheses to get

(3x * 3) (4x + 1) =

9x (4x+1)



Thank you,

MrB

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