Simplify each of the following expressions: `x^2(1-3y^2)+x(x y^2-2x)-3y(y-4x^2y)`

Explanation

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

### Step 1: Distribute the terms
We will first distribute the terms in each part of the expression.

1. **Distributing \( x^2(1 - 3y^2) \)**:
\[
x^2 \cdot 1 - x^2 \cdot 3y^2 = x^2 - 3x^2y^2
...