wolfgirl1319 wolfgirl1319
  • 07-11-2019
  • Mathematics
contestada

Factor completely
-2x^4 + 14x^2 - 24

Respuesta :

BasketballEinstein
BasketballEinstein BasketballEinstein
  • 10-11-2019

Answer:

[tex]-2[x^2 - 3][x - 2][x + 2][/tex]

Step-by-step explanation:

[tex](-2x^4 + 8x^2) + (6x^2 - 24) \\ -2x^2(x^2 - 4) \: \: \: \: 6(x^2 - 4) \\ \\ (-2x^2 + 6)(x^2 - 4) \\ \\ -2(x^2 - 3)(x - 2)(x + 2)[/tex]

For this exercise, you have to use the Difference of Squares [tex][a^2 - b^2 = [a - b][a + b]][/tex].

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