divide and state the quotient in simplest form.

Question

(5y)/(y^(2)+4y+4) / (20y^(2))/(y^(2)-4)

Answer 1

Do you remember how to divide fractions? Invert and multiply!

5y (y + 2)(y -2)/[20y^2(y + 2)(y + 2)]

Now cancel the common factors: (y -2)/[4y(y + 2)]

This all assumes that none of the factors is zero!

Also this problem is MUCH EASIER to see if you write it longhand instead of tty to type it as I have!