Find the sum of `n` terms of series `(x+y) + (x^2+ xy +y^2)+(x^3+x^2y+xy^2+y^3)+..................`

Find the sum of n terms of series (x+y)+(x^(2)+xy+y^(2))+(x^(3)+x^(2)y+xy^(2)+y^(3))+...

Find the sum of n terms of the series (x+y)+(x^(2)+xy+y^(2))+(x^(3)+x^(2)y+xy^(2)+y^(3))+...

Find the sum of n terms of the series (x+y)+(x^(2)+2y)+(x^(3)+3y)+...

(x+y) + (x^2+xy+y^2)+(x^3+x^2y+y^2x+y^3)+........+n terms =

If |x|<1 and |y|<1, find the sum of infinity of the following series: (x+y)+(x^(2)+xy+y^(2))+(x^(3)+x^(2)y+xy^(2)+y^(3))+

x^(3)+x^(2)y+xy^(2)+y^(3)

x^(3) + x^(2)y+ xy^(2) + y^(3) = 81

Add the following expressions: x^3 - x^2y - xy^2 - y^3 and x^3-2x^2y + 3xy^2 + 4y

Find the sum of the following series x(x+y)+x^(2)(x^(2)+y^(2))+x^(3)(x^(3)+y^(3))+... upto n terms and (x+y)+(x^(2)+xy+y^(2))+(x^(3)+x^(2)y+xy^(2)+y^(3))+ upto n terms