Which of the following is a valid exclusion for the algebraic fraction: (27a^3-1) / (9a^2-6a+1)? a. a≠0 b. a≠1 c. a≠1/3 d. a≠3

We have the following expression:
 (27a ^ 3-1) / (9a ^ 2-6a + 1)
 Rewriting we have:
 (27a ^ 3-1) / (9a ^ 2-6a + 1)
 (27a ^ 3-1) / ((3a-1) * (3a-1))
 We exclude the values that make the denominator zero:
 3a-1 = 0
 a = 1/3
 
 a valid exclusion for the algebraic fraction is:
 c. a ≠ 1/3