8x^4-16x^3y

The expression you've given is \( 8x^4 - 16x^3y \). This expression can be factored to simplify it.

Step 1: Identify the common factors

Both terms \( 8x^4 \) and \( -16x^3y \) have common factors:

1. The numerical coefficients: 8 and 16 share a common factor of 8.
2. The variable factor: Both terms include \( x^3 \) as a factor.

Step 2: Factor out the common factor

Let's factor out \( 8x^3 \):

\[ 8x^4 - 16x^3y = 8x^3(x - 2y) \]

Final Factored Form

The expression factored is:

\[ 8x^3(x - 2y) \]

This is the simplest form of the expression. If you have any other questions or another expression to factor, let me know!