If (a + 1/a) = 3, what is the value of a^3 + 1/a^3?

Algebra and Applications Test 2

Question : 25 of 40

Marks: +1, -0

(a + 1/a) = 3

, what is the value of

a^3 + 1/a^3

Solution:

(a + 1/a) = 3

Cubing both sides we get:

a^3+1/a^3+3×a×1/a(a+1/a)=3^3

a^3+1/a^3+3 (3)=27

a^3+1/a^3 =18

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