Question

if a/b+b/c=1 then a³+b³=?​

Answer 1

Given, a/b+b/a=1

Or, (a^2+b^2)/ab=1

Or, a^2+b^2=ab

Or, a^2+b^2-ab=0

Now, a^3+b^3

=(a+b)(a^2-ab+b^2)

=0[as, one of these factors i.e. (a^2+b^2-ab=0)]

Or you may solve like :

a3+b3= (a+b) (a2-ab+b2)

Now a/b+ b/a=( a2+ b2)/ab =1

So a2 +b2=ab

so a2-ab+b2=0

So a3 +b3= 0

Answer 2

Step-by-step explanation:

Here is your answer mate

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