Build a tree for the expression (x+(y*z)-w) + (u-v) as follows

To build a tree for the expression (x+(y*z)-w) + (u-v), we can follow these steps:

1. Identify the operators and operands in the expression:

   • Operators: +, -, *
   • Operands: x, y, z, w, u, v

2. Determine the precedence of the operators:

   • The * operator has higher precedence than + and -.
   • The + and - operators have the same precedence.

3. Start building the tree from the innermost parentheses:

   • The expression inside the first parentheses is (y*z).
   • Create a subtree with * as the root and y and z as its children.

4. Replace the (y*z) expression with the subtree in the original expression:

   • The expression becomes (x+subtree-w) + (u-v).

5. Continue building the tree for the remaining expression:

   • The expression inside the second parentheses is (u-v).
   • Create a subtree with - as the root and u and v as its children.

6. Replace the (u-v) expression with the subtree in the original expression:

   • The expression becomes (x+subtree-w) + subtree.

7. Finally, create a subtree with + as the root and the two remaining subtrees as its children:

   • The root of the entire tree is +, and its left and right children are the two subtrees.

The resulting tree for the expression (x+(y*z)-w) + (u-v) would look like this:

     +
   /   \
  +     -
 / \   / \
x  *  w   -
   / \   / \
  y   z u   v