Question

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)+`<br>A. `(x+y-xy)/(1-x-y+xy)`
B. `(x+y+xy)/(1-x-y+xy)`
C. `(x)/(1-x)+(y)/(1-y)`
D. `((x-y)(x+y-xy))/(1-x-y+xy)`

Answer 1

Correct Answer - A