# How do you simplify 3/(x+2)+(4/x)?

May 5, 2018

$\frac{7 x + 8}{x \left(x + 2\right)}$

#### Explanation:

$\frac{3}{x + 2} + \frac{4}{x}$

= $\frac{3 x + 4 \left(x + 2\right)}{x \left(x + 2\right)}$ (you have to make the denominator the same )

= $\frac{3 x + 4 x + 8}{x \left(x + 2\right)}$ (expand the brackets)

= $\frac{7 x + 8}{x \left(x + 2\right)}$ (simplify by adding together the like terms)