What are the key differences between a binary tree and a balanced tree in data structures?

Key differences between a binary tree and a balanced tree:

• Binary tree: a data structure where each node has at most two children (left and right).
• Balanced tree: a special type of binary tree that maintains balance to ensure roughly equal heights of subtrees. This guarantees efficient search, insert, and delete operations.

Balancing is necessary to avoid degenerate cases where the tree becomes list-like, making operations slow (O(n)).

Examples of balanced trees:

• AVL tree
• Red-black tree

Example in Go (simplified):

// Binary tree node
type Node struct {
    Value int
    Left  *Node
    Right *Node
}

// In a balanced tree, rotations are performed after insertions to maintain balance (not shown here).

Thus, a balanced tree is a binary tree with additional properties to maintain efficiency.