if a/b +b/a= -1 (a,b is not equal to 0) then the value of a³-b³
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Step-by-step explanation:
Given :
a/b + b/a = - 1
Multiplying every term with ab
⇒ a² + b² = - ab
We know that
a³ - b³ = ( a - b )( a² + b² + ab )
Substituting a² + b² = - ab
⇒ a³ - b³ = ( a - b )( - ab + ab )
⇒ a³ - b³ = ( a - b ) × 0
⇒ a³ - b³ = 0
Hence the the value of a³ - b³ is 0.
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