if p-1/p=8,find the value of p^3-1/p^3
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(p-1)/p = 8
=> p-1 = 8p
=> -1 = 8p-p
=> -1 = 7p
=> p= -1/7
Substituting the value of p in the given equation:
p^3-1/p^3
=> (-1/7)^3 -1/ (-1/7)^3
=> (-1/343) -1/ (-1/343)
=> (-344/343)/ (-1/343)
=> -344/-1
= 344
=> p-1 = 8p
=> -1 = 8p-p
=> -1 = 7p
=> p= -1/7
Substituting the value of p in the given equation:
p^3-1/p^3
=> (-1/7)^3 -1/ (-1/7)^3
=> (-1/343) -1/ (-1/343)
=> (-344/343)/ (-1/343)
=> -344/-1
= 344
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