If x-1/x=3, the value of x^3-1/x^3 is:

Algebra and Applications Test 3

Question : 9 of 25

Marks: +1, -0

x-1/x=3

, the value of

x^3-1/x^3

is:

Solution:

x-1/x=3

Cubing both sides we get:

x^3-1/x^3-3×x×1/x(x-1/x)=27

x^3-1/x^3-3 (3)=27

x^3-1/x^3 =27+9=36

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