Question

Is anyone willing to answer this question?

Answer 1

`4(x + 6)(x - 2)`

Step-by-step explanation

The given rational expression is:

`\frac{1}{ {x}^(2) + 4x - 12} + (3x)/(4x - 8)`

We can factor the denominators to obtain:

`(1)/((x + 6)(x - 2) ) + (1)/(4(x - 2))`

The common denominator is least common multiples of the denominators.

The common denominator is of the given rational expression is

`4(x + 6)(x - 2)`