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

Explanation

To simplify the expression \((x+y+z)^2 + (x + \frac{y}{2} + \frac{z}{3})^2 - ( \frac{x}{2} + \frac{y}{3} + z)^2\), we will use the algebraic identity for the square of a sum, which states that:

\[ (A + B + C)^2 = A^2 + B^2 + C^2 + 2AB + 2BC + 2AC \]

### Step 1: Expand \((x+y+z)^2\)

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