If x - (1/x) = 11, then x3 - (1/x3) is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e 1364.
| Understanding/Application |
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(a - b)3 = a3 - b3 -3ab(a - b) x - 1/x = 11 x3 - 1/x3 = (x - 1/x)3 + 3(x - 1/x) |
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= 113 + 3(11) = 1331 - 33 = 1364 |