if a/b +b/a =1 then a³+b³
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Answer:
a^3 +b^3 =0
Step-by-step explanation:
Given,
a/b+b/a =1
(a^2 +b^2)/ab =1
a^2 +b^2 =ab .....(1)
Now,
a^3 +b^3 =(a+b)(a^2 +b^2 - ab)
a^3 +b^3 =(a+b)(ab - ab) ....( from (1) )
a^3 +b^3 =(a+b) ×0
a^3 +b^3 = 0
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Answer:
Happy raksha bandhan
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