Option (D)
Given Infix Expression: ((9+8)∗7+(6∗(5+4))∗3)+2
We know that if an infix expression is a operator b, then the prefix expression will be operator a b.
Start converting to prefix
Solve the innermost brackets first.
((+98)*7+(6*(+54)*3)+2
Now, group the following and apply prefix operation.
((+98)*7+(6*(+54)*3)+2
We get
((*+987)+(*6+54)*3)+2
Now, group the following and apply prefix operation.
((*+987)+(*6+54)*3)+2
((*+987)+(**6+543)+2
Now, group the following and apply prefix operation.
((*+987)+(**6+543)+2
(+*+987**6+543)+2
Now, group the following and apply prefix operation.
(+*+987**6+543)+2
++*+987**6+5432
Ans. Option (D)