Respuesta :

Answer:

x^2-25

Step-by-step explanation:

rewrite 25 as 5^2

x^2-5^2

since both terms are perfect squares, factor using the difference of square s formula, a^2-b^2=(a+b)(a-b) where a=x and b=5

(x+5)(x-5)

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Answer:

[tex]\[(x+5)*(x-5)\][/tex]

Step-by-step explanation:

Given polynomial expression is [tex]\[x^{2}-25\][/tex]

[tex]\[=> x^{2}-5^{2}\][/tex]

This is of the form [tex]\[a^{2}-b^{2}\][/tex]

An expression of this form can be factorized as [tex]\[(a+b)*(a-b)\][/tex]

Here, a = x and b = 5.

Hence the factorized form of the given polynomial expression can be represented as the following product:

[tex]\[(x+5)*(x-5)\][/tex]

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