If (x2 + y2)3 = (x3 + y3)2 and xy≠0, then find the value of \(\frac{x}{y}+\frac{y}{x}\).

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Simplification is the process of replacing a mathematical expression with a simpler, equivalent one. Simplifying an expression involves writing it in its simplest form, without any more adding, subtracting, multiplying, or dividing. For example, the expression 4 + 6 + 5 can be simplified to 15.    Simplification can involve: Algebraic expressions, Boolean expressions, Fractions, Conjunction elimination.  Simplification can help to: Reduce a fraction by canceling it to the lowest common factor (LCM) for both the numerator and the denominator to its lowest term Reduce an algebraic... Show more

If (x<sup>2</sup> + y<sup>2</sup>)<sup>3</sup> = (x<sup>3</sup> + y<sup>3</sup>)<sup>2</sup> and xy≠0, then find the value of \(\frac{x}{y}+\frac{y}{x}\).