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Answer»

(a+b+c)² = (-a-b+c)²

x³ + y³ = (x+y)(x²-xy+y²)

(a+b)² + (a-b)²

= (a²+b²+2AB) + (a²+b²-2ab)

= a²+b²+2ab + a²+b²-2ab

⇒ On CANCELLING 2ab :

= a²+b²+ a²+b²

= 2a² + 2b²

(a+b+c)² = a² + b² + c² + 2(ab+bc+ca)



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