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RAJU RAM

· started a discussion

· 1 Months ago

ALGEBRA FORMULE (Question:142934.0)

ALL FORMULE CONFUSING ME

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

Knowledge Expert

· commented

· 1 Months ago

Dear student
The formula applied here is (a-b)^3 +3ab(a-b)

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