Question

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

Answer 1

a ≠ 1/3

Thanks to the guy above, I got the answer right! :)

Answer 2

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