How do you simplify (3w)/(w^2-36) + w/(w-6)?

1 Answer
Apr 27, 2017

$\setminus \frac{{x}^{2} + 9 x}{{x}^{2} - 36}$

Explanation:

We have to find the lowest common denominator. We can see that $w - 6$ is a factor of ${w}^{2} - 36$. If we multiply the top and bottom of $\frac{w}{w - 6}$ by $w + 6$ we get the following
$\setminus \frac{3 w}{{w}^{2} - 36} + \setminus \frac{w \left(w + 6\right)}{\left(w - 6\right) \left(w + 6\right)}$
$\setminus \frac{3 w}{{w}^{2} - 36} + \setminus \frac{{w}^{2} + 6 w}{{w}^{2} - 36}$
$\setminus \frac{3 w + {w}^{2} + 6 w}{{w}^{2} - 36}$
$\setminus \frac{{w}^{2} + 9 w}{{w}^{2} - 36}$