Question

write the expression in lowest terms
y^2+4y+4/y^2+6y+8

Answer 1

The best thing you can do here is factor both the numerator and denominator, then you see that a term or two may divide out

Answer 2

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

Answer 3

Therefore: