I will mark as brain list
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Proof :
L.H.S. = (x + 1/x)² - 4
= {x² + (2 * x * 1/x) + 1/x²} - 4
= x² + 2 + 1/x² - 4
= x² - 2 + 1/x²
= x² - (2 * x * 1/x) + 1/x²
= (x - 1/x)² = R.H.S.
Hence, proved.
Identity Rules :
• (a + b)² = a² + 2ab + b²
• (a - b)² = a² - 2ab + b²
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