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Sanjukta

· started a discussion

· 1 Months ago

(Question:142934.0)

Question:
If x – \(\cfrac{1}{x}\) = 6, find the value of x3 – \(\cfrac{1}{x^3}\):
Options:
A) 198 
B) 234
C) 243 
D) 232
Solution:

x3 – \(\cfrac{1}{x^3}\) = (x – \(\cfrac{1}{x}\))3 + 3(x – \(\cfrac{1}{x}\))

= (6)3 + 3(6) = 216 + 18

= 234

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