What is the product of: x²+2x+1/y²-2y+1 × y²-1/x²-1
Answer (1)
Answer:The answer is 1Step-by-step explanation: Here's the solution: - Factor the expressions: x² + 2x + 1 = (x + 1)²y² - 2y + 1 = (y - 1)²y² - 1 = (y + 1)(y - 1)x² - 1 = (x + 1)(x - 1)- Substitute the factored expressions into the original equation: (x + 1)² / (y - 1)² × (y + 1)(y - 1) / (x + 1)(x - 1)Cancel out common factors: (x + 1) / (y - 1) × (y + 1) / (x - 1)- Multiply the remaining terms: (x + 1)(y + 1) / (y - 1)(x - 1)- Simplify the expression: (xy + x + y + 1) / (xy - x - y + 1)- Since the numerator and denominator are the same, the expression simplifies to 1 Therefore, the product of the given expressions is 1HOPE IT HELPS YOU
