(a²-b²)(c²-d²) - 4 abcd
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(a² - b²)( c² - d²) - 4abcd = { a²c² -a²d² -b²c² + b²d² } -4abcd = { a²c² + b²d² - 2abcd} -{ a²d² + b²c² +2abcd} = { (ac)² + (bd)² ....
I hope you understand....
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