Ответ:

  1. \(858 \cdot 46 = 858 \cdot (40 + 6) = 34\,320 + 5\,148 = 39\,468\).
  2. \(704 \cdot 69 = 704 \cdot (70 - 1) = 49\,280 - 704 = 48\,576\).
  3. \(4\,197 \cdot 38 = 4\,197 \cdot (40 - 2) = 167\,880 - 8\,394 = 159\,486\).
  4. \(5\,672 \cdot 870 = 5\,672 \cdot 87 \cdot 10 = (453\,760 + 39\,704) \cdot 10 = 4\,934\,640\).
  5. \(3\,524 \cdot 346 = 1\,057\,200 + 140\,960 + 21\,144 = 1\,219\,304\).
  6. \(608 \cdot 505 = 608 \cdot (500 + 5) = 304\,000 + 3\,040 = 307\,040\).

Ответ: 1) 39 468; 2) 48 576; 3) 159 486; 4) 4 934 640; 5) 1 219 304; 6) 307 040.