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)
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]