Syntactic Trees

Consider the following two grammars.

Grammar 1

EXPR -> TERM EXPR | TERM

TERM -> FACT / TERM | FACT

FACT -> ID | (EXPR)

ID -> x | y | z

Grammar 2

EXPR -> EXPR / FACT | FACT

FACT -> FACT TERM | TERM

TERM -> ID | (EXPR)

ID -> x | y | z

If possible, derive trees for each of the following expressions, using each of the two grammars. If it is not possible to derive the given expression using one of the grammars, explain why.

1. x y / z
2. x y z
3. x / y z