(2x-1)(x+5)(3x-2) expanded and simplified

To simplify, we can use the FOIL method. That stands for first, outer, inner, last. What we do is take two factors at a time and multiply the first terms by each other, the outer terms together, etc.

Let's start with (2x-1) and (x+5)

First: 2x * x = 2x^2
Outer: 2x * 5 = 10x
Inner: -1 * x = -x
Last: -1 * 5 = -5

2x^2 + 9x - 5

Now FOIL this result with (3x - 2)

6x^3 - 4x^2 + 27x^2 - 18x - 15x + 10

Simplify:

6x^3 - 23x^2 - 33x + 10