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Simplify: (x+y-2z)^2-x^2-y^2-3z^2+4x y...

Simplify: `(x+y-2z)^2-x^2-y^2-3z^2+4x y`

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To simplify the expression \((x+y-2z)^2 - x^2 - y^2 - 3z^2 + 4xy\), we will follow these steps: ### Step 1: Expand \((x+y-2z)^2\) using the identity \((a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ac\). Here, let \(a = x\), \(b = y\), and \(c = -2z\). \[ (x+y-2z)^2 = x^2 + y^2 + (-2z)^2 + 2xy + 2y(-2z) + 2x(-2z) ...
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