Respuesta :

Answer: [tex](5x+12)(5x-12)[/tex]

Step-by-step explanation:

[tex]25x^2-144[/tex]

What we have here is;

[tex]a^2-b^2[/tex]

This is as simple as extracting the square root of both terms and multiply them by themselves, one being positive and the other negative as following;

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

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The square root of 25 is 5, [tex]x^2[/tex] is x, and 144 is 12

[tex]25x^2-144=(5x+12)(5x-12)[/tex]