Question

x2×(x/y-y/x)×(y/x+x/y)×y2

Answer 1

x² * (x/y - y/x) * (y/x  + x/y)  * y² =  x⁴ - y⁴

Step-by-step explanation:

x² * (x/y - y/x) * (y/x  + x/y)  * y²

= x² ((x² - y²)/xy ) * ((y² + x²)/xy ) * y²

= x²  * y² * (x² - y²)(y² + x²) /(xy * xy )

=  x²  * y² * (x² - y²)(x² + y²) /(x²y²)

= (x² - y²)(x² + y²)

= x⁴ - y⁴

x² * (x/y - y/x) * (y/x  + x/y)  * y² =  x⁴ - y⁴

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