# How do you simplify (2x+6)/(2(x+3))?

Jun 6, 2015

$\frac{\textcolor{b l u e}{\left(2 x + 6\right)}}{2 \left(x + 3\right)}$

The terms of the numerator color(blue)((2x+6) have color(blue)(2 in common.

We can rewrite the numerator as:
color(blue)((2)(x+3)

Now , our expression becomes:

color(blue)cancel((2)(x+3))/cancel(2(x+3)

$= 1$