Question

consider the algebraic expression E=(2x + y) (5a-b)^3. Draw the tree T which correspond to the expression E and find the pre-order traversal of T.

Answer 1

*+2*x y - 5*a b^3

Answer 2

direct answer preorder:-
*+-*2x y-*5a b ^3

Answer 3

Tree T:
*
/ \
+ ^
/ \ / \
2x y 5a -b

Pre-order traversal of T: * + 2x y ^ 5a -b

Answer 4

The expression you provided is the same as the original expression, but with a slightly different formatting. Here is the corresponding tree and pre-order traversal:

Tree T:
*
/ \
+ ^
/ \ / \
2x y 5a -b^3

Pre-order traversal of T: * + 2x y - ^ 5a b 3

Answer 5

Yes, your pre-order traversal is also correct and equivalent to the pre-order traversals we provided earlier. The order of the operands of the subtraction and division nodes are interchangeable, so your traversal is valid as well.