`(x+xy^(2)-p)x(x^(3)+y^(2)-px)`

Simplify: (x^(3)-y^(3))/(3x^(2)+9xy+6y^(2))xx(x^(2)+2xy+y^(2))/(x^(2)-y^(2))

Veriffy : (i) x^(3)+y^(3)=(x+y)(x^(2)-xy+y^(2))x^(3)-y^(3)=(x-y)(x^(2)+xy+y^(2))

If x=2+3i and y=2-3i then find the values of : (x^(2)+xy+y^(2))/(x^(2)-xy+y^(2))

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))+

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)