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Verified Answer :

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:

\((8x+7)(8x-7)\)

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:

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