Respuesta :
To solve this problem you must apply the proccedure shown below:
1. You have the folllowing expression given in the problem above:
[tex] (5x-8)/(45x^{2}-42x-48) [/tex]
2. The first thing you must do is to factor the denominator, as following:
[tex] (5x-8)/3(3x+2)(5x-8) [/tex]
3. Now, simplify it and apply the distributive property in the denominator:
[tex] 1/3(3x+2)=1/9x+6 [/tex]
The answer is: [tex] 1/9x+6 [/tex]