MorgannV555043 MorgannV555043
  • 25-10-2022
  • Mathematics
contestada

Factor the following expression completely.x4 - 16

Respuesta :

PanagiotaK600454 PanagiotaK600454
  • 25-10-2022

Given:

[tex]x^4-16[/tex]

Required:

To factor the given expression.

Explanation:

Consider the given expression

[tex]x^4-16[/tex]

Now

[tex]\begin{gathered} x^4-16=(x^2)^2-(4^)^2 \\ \\ =(x^2-4)(x^2+4) \\ \\ =(x^2-2^2)(x^2+4) \\ \\ =(x-2)(x+2)(x^2+4) \end{gathered}[/tex]

Final Answer:

[tex]x^4-16=(x-2)(x+2)(x^2+4)[/tex]

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