(x^2+x+y-y^2)/(2x^3+2y^3) simplify to lowest terms please?

Question

show the step by step process

Answer 1

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

=[(x-y)(x+y)+(x+y)]/2(x+y)(x^2-xy+y^2)

=[(x+y)(x-y+1)]/2(x+y)(x^2-xy+y^2)

=(x-y+1)/2(x^2-xy+y^2)

Answer 2

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

= (x - y + 1)(x + y)/2(x^3 + y^3)

= (x - y + 1)(x + y)/2(x + y)(x^2 - xy + y^2) (cancel out x + y)

= (x - y + 1)/2(x^2 - xy + y^2)

Answer 3

the lowest degree is 4

the corresponding term is

2x^4+2y^4+2xy^3+2yx^3