Re: Division Review Problem

When you flipped the fraction in the denominator, you can cancel both terms out. Try factoring the numerator at this step (a difference of squares):

$\displaystyle \frac{y^2-1}{y}*\frac{y}{y-1}$

Re: Division Review Problem

I would simply multiply the fraction by $\displaystyle 1=\frac{y}{y}$:

$\displaystyle \frac{y-\frac{1}{y}}{1-\frac{1}{y}}\cdot\frac{y}{y}=\frac{y^2-1}{y-1}=\frac{(y+1)(y-1)}{y-1}=y+1$

Re: Division Review Problem

oh that's right, thanks a lot. I always miss those because at first glance it looks prime.