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use the box method to distribute and simplify $(-x - 3)(2x^2 - 2x)$. dr…

Question

use the box method to distribute and simplify $(-x - 3)(2x^2 - 2x)$. drag and drop the terms to the correct locations of the table.
$(-x - 3)(2x^2 - 2x)$

$-x$$-3$
$-2x$$2x^2$$6x$

correct! now write the simplified answer in the box below.

Explanation:

Step1: Combine like terms

First, identify the terms from the box method: \(-2x^3\), \(-6x^2\), \(2x^2\), and \(6x\).
Combine the \(x^2\) terms: \(-6x^2 + 2x^2 = -4x^2\).

Step2: Write the simplified polynomial

Now, put all the terms together in descending order of exponents: \(-2x^3 - 4x^2 + 6x\).

Answer:

\(-2x^3 - 4x^2 + 6x\)