_4y_____ _ ___3y________ y^2+6y+5 y^2+5y+4

write the q again

As you can see from the appearance above it, it is very hard to line up fractions in this format. However, your presentation is much better than what we normally encounter. 4y/(y^2 + 6y + 5) - 3y/(y^2 + 5y + 4) = 4y/((y+1)(y+5)) - 3y/((y+1)(y+4)) = (4y(y+4) - 3y(y+5))/((y+1)(y+4)(y+5)) = (4y^2 + 16 - 3y^2 - 15)/((y+1)(y+4)(y+5)) = (y^2 + 1)/((y+1)(y+4)(y+5))

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