Note : (a+b+c)2 = a2 + b2 + c2 + 2ab − 2bc − 2ca (a−b+c)2 = (a)2 + (−b)2 + (c)2 + 2 × a × −b + 2(−b)(c) + 2× c × a = a2 + b2 + c2 − 2ab − 2bc + 2ca

English

Expand : (A−B+C)2

Expand : (a−b+c)²

Sum

Note : (a+b+c)²= a² + b² + c² + 2ab − 2bc − 2ca

(a−b+c)² = (a)² + (−b)² + (c)² + 2 × a × −b + 2(−b)(c) + 2× c × a

= a²+ b²+ c² − 2ab − 2bc + 2ca

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Important Formula of Expansion

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Chapter 12: Identities - Exercise 12 (B) [Page 152]

Chapter 12 Identities
Exercise 12 (B) | Q 1.6 | Page 152