Question

Factor completely 64x2– 49

Answer 1

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 2

Answer:

$(8x+7)(8x-7)$

Step-by-step explanation:

Rewrite the expression as:

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

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

$a^2-b^2=(a+b)(a-b)$

In this case:

$a=8x$

and

$b=7$

Therefore:

$(8x)^2-7^2=(8x+7)(8x-7)$