Question

Give the expansion of it.

${a}^{2} + {b}^{2} + {c}^{2} =$

Answer 1

$\textbf{\underline{Answer :}}$

Now,

(a + b + c)²

= {a + (b + c)}²

= a² + 2a (b + c) + (b + c)²

= a² + 2ab + 2ac + b² + 2bc + c²

= a² + b² + c² + 2ab + 2bc + 2ca

⇒ a² + b² + c² = (a + b + c)² - 2ab - 2bc - 2ca,

which is the required expansion.

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