Show the expression trees for the following algebraic expressions:

a$)$ a $+$ b $$ c $+$ d

b$)$ a $\backslash$times b $/($c $+$ d $\backslash$times e$)$

c$)5+6/3\backslash$times $4-7$

Problem $2$

Consider the expression tree from problem c$)$ above.

a$)$ Show the resulting expression based on the preorder traversal.

b$)$ Show the resulting expression based on the postorder traversal.

c$)$ Show the resulting expression based on the inorder traversal.

Problem $3$

In example project Example$15$ExpressionTree, add a function in class ExpressionTree to

evaluate the algebraic expression represented by the expression tree. Hint: Borrow ideas

from function infix$($TreeNode tn$).$