Answer:
[tex]2x+3[/tex]/[tex]2x-3[/tex]
Step-by-step explanation:
firstly we make two steps to simplify this question.
1st step: simplify [tex]2x^{2} +5x+3[/tex]
to simplify this we use factorization
[tex]2x^{2} +2x+3x+3[/tex]
[tex]2x(x+1) +3(x+1)[/tex]
[tex](2x+3) (x+1)[/tex] .....(1)
2nd step:simplify [tex]2x^{2} -x-3[/tex]
[tex]2x^{2} +2x-3x-3[/tex]
[tex]2x(x+1)-3(x+1)[/tex]
[tex](2x-3)(x+1)[/tex] .....(2)
now dividing (1) and (2), we get the answer
[tex]2x+3/2x-3[/tex]
