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If |x|<1a n d|y|<1, find the sum of infi...

If `|x|<1a n d|y|<1,` find the sum of infinity of the following series: `(x+y)+(x^2+x y+y^2)+(x+y)+(x^3+x^2y+x y^2+y^3)+`

A

`( x+y + xy ) /( (1 + x) ( 1+ y))`

B

` ( x + Y - x y ) /( (1- x) (1- y))`

C

` ( x + y - xy ) /((1+ x )( 1+ Y))`

D

` ( x + Y - xy ) /(( 1 + x) ( 1+y ) )`

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