Question

question
use the box method to distribute and simplify $(-x - 1)(-4x + 6)$. drag and drop the terms to the correct locations of the table.
$(-x - 1)(-4x + 6)$

Explanation:

Step1: Label box rows/columns

Rows: $-x$, $-1$; Columns: $-4x$, $6$

Step2: Calculate top-left cell

$(-x) \times (-4x) = 4x^2$

Step3: Calculate top-right cell

$(-x) \times 6 = -6x$

Step4: Calculate bottom-left cell

$(-1) \times (-4x) = 4x$

Step5: Calculate bottom-right cell

$(-1) \times 6 = -6$

Step6: Combine like terms

$4x^2 + (-6x + 4x) - 6 = 4x^2 - 2x - 6$

Answer:

Completed Box Table:

	$-4x$	$6$
$-1$	$4x$	$-6$

Simplified expression: $4x^2 - 2x - 6$