Respuesta :

The factored form of given expression is:

[tex]16x^2(x-3)(x+3)[/tex]

Step-by-step explanation:

The identity that can be used to factorize the given expression is:

[tex]a^2-b^2 = (a+b)(a-b)[/tex]

Given

[tex]16x^4-144x^2[/tex]

As 16 is a factor of both terms

[tex]=16x^2(x^2-9)[/tex]

Using the identity

[tex]=16x^2[(x)^2-(3)^2]\\=16x^2[(x-3)(x+3)][/tex]

Hence,

The factored form of given expression is:

[tex]16x^2(x-3)(x+3)[/tex]

Keywords: Factorization, polynomials

Learn more about polynomials at:

  • brainly.com/question/9762331
  • brainly.com/question/9723881

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