Sum the series: `x (x + y) + x^2(x^2+ y^2)+x^3(x^3+y^3)....`to n terms

Sum the series : x(x+y)+x^2(x^2+y^2)+x^3(x^3+y^3+ ton terms.

Find the sum of the series x(x+y)+x^2(x^2+y^2)+x^3(x^3+y^3)+……to infinity where |x|lt1 and |y|lt1.

Find the sum of the series x(x+y)+x^2(x^2+y^2)+x^3(x^3+y^3)+……to infinity where |x|lt1 and |y|lt1.

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

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

Find the sum of the GP : (i) sqrt(7)+sqrt(21)+3sqrt(7)+... to n terms (ii) 1-1/3+1/3^(2)-1/3^(3)+... to n terms (iii) 1-a+a^(2)-a^(3)+... to n terms (a ne 1) (iv) x^(3)+x^(5)+x^(7)+... to terms (v) x(x+y)+x^(2)(x^(2)+y^(2))+x^(3) (x^(3)+y^(3))+... to n terms

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

(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)+..................