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If (x-iy ) ^(1/3) = a + ib, then (ax -by...

If `(x-iy ) ^(1/3) = a + ib,` then `(ax -by)/(a-b) =`

A

`a ^(3) -b ^(3)`

B

`a ^(3) + a ^(2) b+ab ^(2) + b ^(3)`

C

` a ^(3) + 3a ^(2) b+ 3ab^(2) + b ^(2)`

D

`a ^(4) -b ^(4)`

Text Solution

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The correct Answer is:
B
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