Question

How do you factor completely `3w^2-75`?

Answer 1

`3(w+5)(w-5)`

Explanation:

To factor `3w^2-75`

Begin by factoring out the common factor `3`

`3(w^2-25)`

Now we recognize that `w^2-25` is the difference of two squares

`3(w+5)(w-5)`