Respuesta :

The theorem is: a^2 - b^2 = (a+b) (a-b)
So, let's do this:

64x^2 - 49=
(8x)^2 - (7)^2=
(8x+7) (8x-7)

Answer:

[tex](8x+7)(8x-7)[/tex]

Step-by-step explanation:

Rewrite the expression as:

[tex]64x^2-49=(8x)^2-7^2[/tex]

We obtained a difference of two squares, so we can use the next formula:

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

In this case:

[tex]a=8x[/tex]

and

[tex]b=7[/tex]

Therefore:

[tex](8x)^2-7^2=(8x+7)(8x-7)[/tex]