Find the value of `4x^2+y^2+25 z^2+4x y-10 y z-20 z x` when `x=4,y=3` and `z=2.`

Explanation

To find the value of the expression \( 4x^2 + y^2 + 25z^2 + 4xy - 10yz - 20zx \) when \( x = 4 \), \( y = 3 \), and \( z = 2 \), we will substitute the values of \( x \), \( y \), and \( z \) into the expression step by step.

### Step 1: Substitute the values into the expression
We start with the expression:
\[ 4x^2 + y^2 + 25z^2 + 4xy - 10yz - 20zx \]
Substituting \( x = 4 \), \( y = 3 \), and \( z = 2 \):
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