verify (ab+ bc) (ab-bc) + (bc+ca) (bc-ca)+ (ca+ab) (ca-ab) =0
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LHS = (ab+ bc) (ab-bc) + (bc+ca) (bc-ca)+ (ca+ab) (ca-ab)
= (ab)² - (bc)² + (bc)² - (ca)² + (ca)² - (ab)²
______________
/* By Algebraic Identity */
( x + y )( x - y ) = x² - y²
_____________
= 0
= RHS
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