Answer:
the LCD is a) (2x+1)(x-3)
Explanation:
step 1.)
factorise: 2x²+1- 5x-3 becomes (2x+1)(x-3) when you factorise it and the 2x+1 stays (2x+1).
step 2.)
since 2x+1 are in both denominators you only write it once and don't forget to include x-3 as an LCD
therefore (2x+1)(x-3) is the LCD.