The dag provides visual representation the expression structure

To construct a Directed Acyclic Graph (DAG) for the given expression, we need to break it down into individual sub-expressions and represent them as nodes in the graph. Here's the DAG for the expression: ((x+y)−((x+y) * (x−y)))+((x+y) * (x−y))

+

- *

/ \ / \

In the DAG, each node represents an operation or an operand. The edges between nodes indicate dependencies. For example, the addition operation at the top depends on the two sub-expressions on its left and right. Similarly, the subtraction and multiplication operations depend on their respective sub-expressions. The DAG provides a visual representation of the expression's structure, showing how the different sub-expressions are connected and evaluated. It is a useful tool for analyzing and optimizing expressions in computer science and mathematics.