Respuesta :

x^2 - 64 = 
(x + 8)(x - 8) <===

Answer: [tex](x+8)(x-8)[/tex]

Step-by-step explanation:

The given polynomial : [tex]x^2-64[/tex]

Since both the terms are perfect square.

Rewrite the above equation in the form of difference of two squares:

[tex]x^2-(8)^2[/tex]

Using algebraic formula given below:-

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

[tex]\Rightarrow\ x^2-(8)^2=(x+8)(x-8)[/tex]

Hence, the factors of [tex]x^2-64=(x+8)(x-8)[/tex]