BFS explores a graph level by level using a queue and finds the shortest path in unweighted graphs. DFS explores as deep as possible using recursion/stack; it’s useful for topological sort, cycle detection and often uses less memory on wide graphs.
Expanding on the short answer — what usually matters in practice:
A tiny example (an explanation template):
// Example: discuss trade-offs for "bfs-vs-dfs?"
function explain() {
// Start from the core idea:
// BFS (Breadth-First) explores neighbors first (queue, good for shortest path). DFS (Depth-F
}