Simplify into one fraction - 5 / x - 3 - - 4 / x + 2

To simplify the expression we shall have:

-5 / (x-3) - - 4 / (x+2)

=-5 / (x-3) + 4 / (x+2)

putting the fraction under the same denominator

[-5 (x+2) + 4 (x-3) ]/[ (x-3) (x+2) ]

=[-5x-10+4x-12]/[ (x-3) (x+2) ]

=[-x-22]/[ (x-3) (x+2) ]

Answer:

[-x-22]/[ (x-3) (x+2) ]