Factor the following expression completely.x4 - 16

Flo Ragossnig asked Oct 13, 2023

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Flo Ragossnig asked Oct 13, 2023

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6 votes

Given:

Required:

To factor the given expression.

Step-by-step explanation:

Consider the given expression

Now

$\begin{gathered} x^4-16=(x^2)^2-(4^)^2 \\ \\ =(x^2-4)(x^2+4) \\ \\ =(x^2-2^2)(x^2+4) \\ \\ =(x-2)(x+2)(x^2+4) \end{gathered}$

Final Answer:

Diego Osornio answered Oct 20, 2023

3.1k points

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