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Step-by-step explanation:

problem answer in picture

Ver imagen nickgold1996

The value of the expression after factorization is (x² + 2)(x² - 6)

What is Factorization?

'In math, factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number.'

According to the given problem,

[tex]x^{4} - 4x^{2} - 12\\[/tex]

⇒ [tex]x^{4} + 2x^{2} - 6x^{2} - 12\\[/tex]

⇒ [tex]x^{2} (x^{2} +2) -6(x^{2} +2)[/tex]

⇒ [tex](x^{2} +2)(x^{2} -6)[/tex]

Hence, we can conclude the value of the given expression after factorization is [tex](x^{2} +2)(x^{2} -6)[/tex].

Learn more about factorization here:

https://brainly.in/question/36332785

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