Hi John,
To solve this problem, first thing you'll want to do is multiply out the first set of parenthesis. So, you want to multiply (5x-2) times (x2-x3). This gives 5x3 - 5x4 - 2x2 + 2x3 = -5x4 + 7x3 - 2x2
Now, take (-5x4 + 7x3 - 2x2) and subtract (2x2 - 3x - 4). This gives -5x4 + 7x3 - 2x2 - 2x2 + 3x + 4
Collecting like terms, we get -5x4 + 7x3 - 4x2 + 3x + 4.