Question

QUESTION IS IN THE ATTACHMENT.

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Answer 1

Hello,Buddy!!

Given:-

• (½a+½b+½c)²

Required Solution:-

$( { \frac{1}{2}a + \frac{1}{2}b + \frac{1}{2} c) }^{2} \\ \frac{1}{2} {(a + b + c)}^{2} \\ \frac{1}{2} ( {a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2ac + 2bc) \\ \frac{1}{2} [ {a}^{2} + {b}^{2} + {c}^{2} + 2(ab + bc + ca)]$

• Required Value is ½[a²+b²+c²+2(ab+bc+ca)]

Identity Used:-

• (a+b+c)² = a²+b²+c²+2ab+2bc+2ca.

$\boxed{\tt{@MrSovereign}}$

Hope This Helps!!