nicoleisawasome
nicoleisawasome nicoleisawasome
  • 04-06-2020
  • Mathematics
contestada

Factor completely.

3x^2 −147=

Respuesta :

pandaeyes1021
pandaeyes1021 pandaeyes1021
  • 04-06-2020

Answer:

[tex]3(x - 7)(x+7)[/tex]

Step-by-step explanation:

To factor this, you must first take out the GCF (Greatest Common Factor), that [tex]3x^2[/tex] and -147 both have. The terms only have 3 in common, which can be divided with

[tex]3x^2 - 147\\3(x^2 - 49)[/tex]

However, we're still not done since 49 is a perfect square and [tex](x^2 - 49)[/tex] can be split into 2, like so:

[tex]3(x - 7)(x+7)[/tex]

If you're unsure about the final answer, you can multiply it all together to see if you got the original expression.

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