Question

use the box method to distribute and simplify $(3x - 4)(-x - 4)$. drag and drop the terms to the correct locations of the table. $(3x - 4)(-x - 4)$

Explanation:

Step1: Set up box rows/columns

Rows: $3x, -4$; Columns: $-x, -4$

Step2: Calculate top-left cell

$3x \times (-x) = -3x^2$

Step3: Calculate top-right cell

$3x \times (-4) = -12x$

Step4: Calculate bottom-left cell

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

Step5: Calculate bottom-right cell

$-4 \times (-4) = 16$

Step6: Combine all terms

$-3x^2 -12x +4x +16$

Step7: Simplify like terms

$-3x^2 + (-12x+4x) +16 = -3x^2 -8x +16$

Completed Box Table:

	$-x$	$-4$
$-4$	$4x$	$16$

Answer:

$-3x^2 -8x +16$