Question

How do you factor `49w^2 -25`?

Answer 1

`(7w + 5) (7w - 5)`

Explanation:

`49w^2 - 25`

`7^2w^2 - 5^2`

Recall;

`a^2 - b^2 = (a + b) (a - b) -> "difference of two squares.."`

`7^2w^2 - 5^2 = (7w + 5) (7w - 5)`