If a/b + b/a =1 (a and b are not equal to zero) the value of a³-b³ is
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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) ( a²+ b² +ab)
==> a³-b³ = (a - b) ×0
==> a³- b³ = 0 ....
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