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

Answer:

a valid exclusion for the algebraic fraction is:

c. a ≠ 1/3