Factor completely 64x2– 49
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:
\((8x)^2-7^2=(8x+7)(8x-7)\)