# How do you combine w+2+1/(w-2)?

Jul 18, 2017

See a solution process below:

#### Explanation:

To combine these terms we need to have them all over a common denominator. Therefore, we need to multiply $\left(w + 2\right)$ by the appropriate form of $1$:

$\left(\frac{w - 2}{w - 2} \times \left(w + 2\right)\right) + \frac{1}{w - 2} \implies$

$\frac{{w}^{2} + 2 w - 2 w - 4}{w - 2} + \frac{1}{w - 2} \implies$

$\frac{{w}^{2} + \left[2 w - 2 w\right] - 4}{w - 2} + \frac{1}{w - 2} \implies$

$\frac{{w}^{2} + 0 - 4}{w - 2} + \frac{1}{w - 2} \implies$

$\frac{{w}^{2} - 4}{w - 2} + \frac{1}{w - 2}$

We can now add the numerators over the common denominator:

$\frac{{w}^{2} - 4 + 1}{w - 2} \implies$

$\frac{{w}^{2} - 3}{w - 2}$