Question

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

Answer 1

`\frac{x^2+9x}{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 `w/{w-6}` by `w+6` we get the following
`\frac{3w}{w^2-36}+\frac{w(w+6)}{(w-6)(w+6)}`
`\frac{3w}{w^2-36}+\frac{w^2+6w}{w^2-36}`
`\frac{3w+w^2+6w}{w^2-36}`
`\frac{w^2+9w}{w^2-36}`