Question 116113

Your answer is correct.


{{{(7/x+4) - (5x/3x-2)}}}

{{{(7(3x-2) - 5x(x+4) )/(3x-2) (x+4)}}}

{{{(21x- 14 - 5x^2 - 20x)/(3x-2)(x+4)}}}
 
{{{(- 5x^2 + x - 14 )/(3x-2)(x+4)}}}……………….. since {{{- 5x^2 + x - 14 }}} cannot be factored, we will have:

{{{(- 5x^2 + x - 14 )/(3x^2 + 12x -2x - 8)}}} ………………..

So, your answer is:

{{{(- 5x^2 + x - 14 )/(3x^2 + 10x - 8)}}}