The least value of the expression `x^2+4y^2+3z^2-2x-12 y-6z+14` is `3` b. no least value`` c. `0` d. none of these

Explanation

To find the least value of the expression \( x^2 + 4y^2 + 3z^2 - 2x - 12y - 6z + 14 \), we will rewrite it in a form that allows us to identify its minimum value.

### Step 1: Rewrite the expression
We start with the expression:
\[ E(x, y, z) = x^2 + 4y^2 + 3z^2 - 2x - 12y - 6z + 14 \]

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