The sum of the squares of two numbers is 97, and the square of their difference is 25. The product of the two numbers is:
Q1. The sum of the squares of two numbers is 97, and the square of their difference is 25. The product of the two numbers is:
Answer: 36
Explanation: Expanding (x − y)² = x² − 2xy + y² = 25, and substituting x² + y² = 97 gives 97 − 2xy = 25, so the product xy = 36.