#### Answer

$-4x^2+8x$

#### Work Step by Step

We start with the given expression: $-4x(x-2)$
To simplify an algebraic expression, we must eliminate any parentheses and combine like terms. To eliminate parentheses, we apply the distributive property: $-4x*x-2*-4x$
We multiply each term: $-4x^2+8x$
Since there are no like terms, the expression has been simplified.