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use the box method to distribute and simplify $(-4x - 1)(5x + 2)$. drag…

Question

use the box method to distribute and simplify $(-4x - 1)(5x + 2)$. drag and drop the terms to the correct locations of the table.
$(-4x - 1)(5x + 2)$
answer
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Explanation:

Step1: Split binomials into terms

First binomial: $-4x, -1$; Second binomial: $5x, 2$

Step2: Fill box with products

$-4x$$-1$
$2$$(-4x)(2)=-8x$$(-1)(2)=-2$

Step3: Combine like terms

$-20x^2 + (-5x -8x) + (-2)$

Step4: Simplify the expression

$-20x^2 -13x -2$

Answer:

$\boldsymbol{-20x^2 -13x -2}$