Given an expression (A+B*D)/(E-F)+G A. The prefix notation is +/+A*DB-EFG B.…

Concept:

An expression tree has operators at internal nodes and operands at the leaves, and its leaves are always encountered left to right in the same order no matter how the tree is traversed. A preorder traversal (root, then left subtree, then right subtree) produces the prefix form; a postorder traversal (left subtree, then right subtree, then root) produces the postfix form. Because both traversals always visit a node's left subtree before its right subtree, the operands appear in the same left-to-right order in infix, prefix, and postfix -- only the position of the operators changes. Reversing a postfix string token-by-token is a different operation from a preorder traversal, so it does not, in general, reproduce the prefix form.

Application:

For (A + B * D)/(E - F) + G, build the expression tree: the root is '+' with left child '/' and right child G; the '/' node has left child '+' (with children A and 'B*D') and right child '-' (with children E and F).

1. Preorder (prefix) traversal of the tree: + / + A * B D - E F G.

2. Postorder (postfix) traversal of the tree: A B D * + E F - / G +.

3. Compare with the given statement's prefix, +/+A*DB-EFG: it writes the multiplication operands as D then B, but the preorder traversal above places B then D -- so the stated prefix does not match the tree's actual preorder output.

Cross-check:

Reverse the correct postfix string token by token: A B D * + E F - / G + reversed is + G / - F E + * D B A. This is not the same sequence as the actual prefix (+ / + A * B D - E F G) -- the operator positions and operand order both come out different, confirming that prefix is not simply the reverse of postfix for this expression.

Conclusion:

The operand order is preserved across infix, prefix and postfix (so both operand-order statements hold), the given prefix notation is misordered, and prefix is not the reverse of postfix. So the correct selection is the pairing that keeps only the two operand-order statements.