[" Qs."9:(x+y)+(x2+xy+y2)+],[(x3+x2y+y2x+y2)+.......+n" terms "=]

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

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

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^2y+xy^2+y^3)+..................

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 x(x+y) + x^(2) (x^(2) + y^(2)) + x^(3) (x^(3) + y^(3))+ ……..to n terms

Let's simplify:- (x + y) (x^2 -xy + y^2) + ( x - y) (x^2 + xy + y^2)

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

If S_(n)=(x+y)+(x^(2)+xy+y^(2))+(x^(3)+x^(2)y+y^(2)x+y^(3))+…n terms then prove that (x-y)S_(n)=[(x^(2)(x^(n)-1))/(x-1)-(y^(2)y^(n)-1)/(y-1)] .

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