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use the box method to distribute and simplify $(-2x^2 - 5x)(-x - 2)$. d…

Question

use the box method to distribute and simplify $(-2x^2 - 5x)(-x - 2)$. drag and drop the terms to the correct locations of the table. $\left(-2x^{2}-5x\
ight)\left(-x-2\
ight)$

Explanation:

Step1: Multiply terms in box

First row: $(-2x^2)(-x)=2x^3$, $(-5x)(-x)=5x^2$
Second row: $(-2x^2)(-2)=4x^2$, $(-5x)(-2)=10x$

Step2: Combine like terms

$2x^3 + (5x^2 + 4x^2) + 10x = 2x^3 + 9x^2 + 10x$

Answer:

$2x^3 + 9x^2 + 10x$