# How do you find the product of 10/(r-2)*(r^2-4)/2?

Oct 13, 2016

You need to factorise the second degree polynomial

#### Explanation:

You have to first factorise the numerator of the second term:

$\frac{10}{r - 2} \cdot \frac{{r}^{2} - 4}{2} = \frac{10}{r - 2} \cdot \frac{\left(r + 2\right) \cdot \left(r - 2\right)}{2}$. So, if you cancel

$\left(r - 2\right)$, you have:

$10 \cdot \frac{r + 2}{2} =$5 * (r+2)