Question

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!! Subract and simplify.

Answer 1

Answer: C

Step-by-step explanation:

  $\dfrac{x+1}{x-5} - \dfrac{x-2}{x+3}$

= $\dfrac{x+1}{x-5}(\dfrac{x+3}{x+3}) - \dfrac{x-2}{x+3}(\dfrac{x-5}{x-5})$

= $\dfrac{x^{2}+4x+3}{(x-5)(x+3)} - \dfrac{x^{2}-7x+10}{(x-5)(x+3)}$

= $\dfrac{x^{2}+4x+3-(x^{2}-7x+10)}{(x-5)(x+3)}$

= $\dfrac{11x-7}{(x-5)(x+3)}$