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12 January, 13:18

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

+1
Answers (1)
  1. 12 January, 13:29
    0
    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
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