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If a = Sigma(n=0)^(oo) x^(n), b = Sigma...

If a `= Sigma_(n=0)^(oo) x^(n), b = Sigma_(n=0)^(oo) y^(n), c = Sigma__(n=0)^(oo) (xy)^(n) " Where " |x|, |y| lt 1`, then -

A

`abc = a + b + c`

B

`ab + bc = ac + b`

C

`ac + bc + b`

D

`ab + ac = bc + a`

Text Solution

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The correct Answer is:
C
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