Simplify the expression

left parenthesis 6 t cubed plus 5 t squared plus 9 right parenthesis divided by left parenthesis 2 t space plus space 3 right parenthesis

A. 3t² -2t +3

B. $3 t squared space minus space 2 t space plus fraction numerator 3 over denominator 2 t plus 3 end fraction$

C. $3 t squared plus fraction numerator 5 t over denominator 2 end fraction plus 3$

D. $6 t squared minus 13 t space plus 39 space minus space fraction numerator 108 over denominator 2 t plus 3 end fraction$