Simplify: `(x^2-3x+2)(5x-2)-\ (3x^2+4x-5)\ (2x-1)`

Explanation

To simplify the expression \((x^2 - 3x + 2)(5x - 2) - (3x^2 + 4x - 5)(2x - 1)\), we will follow these steps:

### Step 1: Expand the first product \((x^2 - 3x + 2)(5x - 2)\)

Using the distributive property (also known as the FOIL method for binomials), we multiply each term in the first polynomial by each term in the second polynomial:

\[
= x^2 \cdot 5x + x^2 \cdot (-2) - 3x \cdot 5x - 3x \cdot (-2) + 2 \cdot 5x + 2 \cdot (-2)
...