x^(y)=y^(x),x^(2)=y^(3)

If a function satisfies (x-y)f(x+y)-(x+y)f(x-y)=2(x^(2)y-y^(3))AA x,y in R and f(1)=2 ,then

If S=(x+y)(x-y)+(1)/(2!)(x+y)(x-y)(x^(2)+y^(2))+(1)/(3!)(x+y)(x-y)(x^(4)+y^(4)+x^(2)y^(2))+..., then S =

The value of (x+y)(x-y)+(1)/(2!)(x+y)(x-y)(x^(2)+y^(2))+(1)/(3!)(x+y)(x-y)(x^(4)+y^(4)+x^(2)y^(2)) is i

Sum of the series (x+y)(x-y) +1/(2!)(x+y) (x-y) (x^(2)+y^(2)) 1/(3!)(x+y)(x-y)(x^(4)+y^(4)+x^(2)y^(2))+... is

The value of ,2x_(1)y_(1),x_(1)y_(2)+x_(2)y_(1),x_(1)y_(3)+x_(3)y_(1)x_(1)y_(2)+x_(2)y_(1),2x_(2)y_(2),x_(2)y_(3)+x_(3)y_(2)x_(1)y_(3)+x_(3)y_(1),x_(2)y_(3)+x_(3)y_(2),2x_(3)y_(3)]| is

The factors of x^(3)-x^(2)y-xy^(2)+y^(3) are (a (x+y)(x^(2)-xy+y^(2))(b)(x+y)(x^(2)+xy+y^(2))(c)(x+y)^(2)(x-y)(d)(x-y)^(2)(x+y)

The value of (x,y) if x^y = y^x and x^2 = y^3 is :

The value of the determinant det[[x+2y,x,x+yx+2y,x,x+yx+y,x+2y,x]]9y^(2)(x+y)3y^(2)(x+y)(d),7x^(2)(x+y)