Problem #PRU-116457

Problems Algebra Rational functions Identical transformations

Problem

Suppose that: $\frac{x + y}{x - y} + \frac{x - y}{x + y} = 3.$ Find the value of the following expression: $\frac{x^{2} + y^{2}}{x^{2} - y^{2}} + \frac{x^{2} - y^{2}}{x^{2} + y^{2}} .$

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