If x⁴ + y⁴ = 17 and x + y = 1, then the value of x²y² – 2xy isयदि x⁴ + y⁴ = 17 तथा x + y = 1 हो, तो x²y² – 2xy का मान है

Explanation

With p = xy: x² + y² = 1 - 2p and x⁴ + y⁴ = (1 - 2p)² - 2p² = 1 - 4p + 2p² = 17, so p² - 2p = 8, which is the required value x²y² - 2xy.माना p = xy: x² + y² = 1 - 2p और x⁴ + y⁴ = (1 - 2p)² - 2p² = 1 - 4p + 2p² = 17, अतः p² - 2p = 8, जो x²y² - 2xy का मान है।