sistersbypride
sistersbypride sistersbypride
  • 02-11-2018
  • Mathematics
contestada

what is the factorization of the expression below 9x^2-4y^2

A. (3x-2y)(3x-2y)
B. (9x-2y)(x+2y)
C. (3x-2y)(3x+2y)
D. (9x-2y)(x-2y)

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 02-11-2018

9x^2-4y^2

(3x-2y) (3x+2y)

Choice C

Answer Link
dancer2416
dancer2416 dancer2416
  • 02-11-2018

Factors 9x^2-4y^2 :

Rewrite 9x^2 as 3x^2           Hint: because 9/3=3

Rewrite 4y^2 as 2y^2           Hint: because 4/2=2

  • Remember whatever you do on one side you have to do the other.

Then you say: (3x)^2- (2y)^2

  • Since both terms are perfect squares, factor using the difference of squares formula, a^2 - b^2 = (a+b)(a-b) = (3x+2y) (3x−2y)

Multiply 2 by -1 to get:

C. (3x+2y) (3x−2y)


Answer Link

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