x-1/x=1/3 evaluate x3-1/x3
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Answered by
5
On cubing both sides :
(x-1/x)³ = (3)³
Using Identity:
(a - b)³ = a³ - b³ - 3 ab (a - b)
- x³- 1/x³ - 3 (x-1/x) = 27
- x³ - 1/ x³– 3 (3) = 27
X-1/X-9 = 27
- x³ - 1/x³ = 27 + 9
- x³ - 1/ x³ = 36
Answered by
3
Answer:
On cubing both sides :
(x-1/x)³ = (3)³
Using Identity:
(a - b)³ = a³ - b³ - 3 ab (a - b)
- x³- 1/x³ - 3 (x-1/x) = 27
- x³ - 1/ x³– 3 (3) = 27
X-1/X-9 = 27
- x³ - 1/x³ = 27 + 9
- x³ - 1/ x³ = 36
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