Find the product: `(3x+2y+2z)\ \ (9x^2+4y^2+\ 4\ z^2-\ 6\ x y-4\ y z-6z x)`

Explanation

To find the product of the expressions \((3x + 2y + 2z)\) and \((9x^2 + 4y^2 + 4z^2 - 6xy - 4yz - 6zx)\), we will use the distributive property (also known as the FOIL method for binomials). Here is the step-by-step solution:

### Step 1: Distribute \(3x\) to each term in the second expression
\[ 3x \cdot 9x^2 = 27x^3 \]
\[
3x \cdot 4y^2 = 12xy^2
...