If a/b + b/a = 1 , then the value of (a^3 + b^3) = ???
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a/b + b/a=1
on solving,we get
a²+b²/ab = 1
⇒a²+b² = ab
⇒a²+b²-ab=0 ...............(1)
now,
a³ + b³= (a+b)(a²+b²-ab) ..................algebric formula
⇒a³ + b³=(a+b)×0 ...................using (1)
⇒a³+b³ = 0 ans
hope it would help u
on solving,we get
a²+b²/ab = 1
⇒a²+b² = ab
⇒a²+b²-ab=0 ...............(1)
now,
a³ + b³= (a+b)(a²+b²-ab) ..................algebric formula
⇒a³ + b³=(a+b)×0 ...................using (1)
⇒a³+b³ = 0 ans
hope it would help u
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