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Simplify: (a+b+c)^2+\ \ (a-b+c)^2...

Simplify: `(a+b+c)^2+\ \ (a-b+c)^2`

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To simplify the expression \((a+b+c)^2 + (a-b+c)^2\), we will follow these steps: ### Step 1: Expand each square using the algebraic identity We will use the identity \((x+y+z)^2 = x^2 + y^2 + z^2 + 2xy + 2yz + 2zx\). 1. For \((a+b+c)^2\): \[ (a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ac ...
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