Factor each expression
3n squared - 3
3n^2 - 3
= 3(n^2 - 1) -----> using common factor
= 3(n-1)(n+1) ----> difference of squares
To factor the expression 3n^2 - 3, we can begin by looking for any common factors in both terms. In this case, we can factor out a common factor of 3:
3(n^2 - 1)
Next, we can observe that the term inside the parentheses is a difference of squares. The expression n^2 - 1 can be written as (n + 1)(n - 1):
3(n + 1)(n - 1)
Therefore, the factored form of 3n^2 - 3 is 3(n + 1)(n - 1).