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Two mathematical simplification problems:
1 original formula =X+Y/ root X+ root Y+(2 XY/ root X+ root y)

= square of radical x plus y/radical x plus radical y

= radical X+ radical y

2 Original formula = (number of roots A+number of roots B)/(number of roots A+number of roots B ab)+ (number of roots a+2) Quadratic/(number of roots a-2a)

= root number a+ root number b+ (root number a+2) quadratic /a

Ps, you don't understand the second formula. You did it according to your own understanding. If only you could type it clearly, OvO.