I am adding and subtracting rational expressions and I was wondering if the expression y+3/y+2 was fully simplified.

Question

This is my work:

y^2+4y/y^2+6y+8  +  3/y+2 = y(y+4)/(y+4)(y+2)  +  3/y+2  =  y/y+2 + 3/y+2  =  y+3/y+2

Answer 1

Assuming that your math is all correct, yes, y+3/y+2 is fully simplified.