Question

How do you multiply and simplify `\frac { 2( x + 2) } { 12} \cdot \frac { 6x } { x + 2}`?

Answer 1

The answer is simply `x` when you simplify the expression.

Explanation:

The `(x + 2)` divides out. the `2/12` becomes `1/6`, which, when multiplied by `6x`, becomes just `x`.

`(2(x+2))/12 * (6x)/(x+2)`

`= 2/12 * (x+2)/(x+2) * 6x`

`= 1/6 * 6x = x`