Question

use the box method to distribute and simplify (2x - 6)(-6x - 4). drag and drop the terms to the correct locations of the table. (2x - 6)(-6x - 4)

Explanation:

Step1: Set up box table

Label rows with $-6x, -4$; columns with $2x, -6$.

Step2: Calculate top-left term

Multiply $2x \times -6x$:
$\boldsymbol{2x \times (-6x) = -12x^2}$

Step3: Calculate top-right term

Multiply $-6 \times -6x$:
$\boldsymbol{-6 \times (-6x) = 36x}$

Step4: Calculate bottom-left term

Multiply $2x \times -4$:
$\boldsymbol{2x \times (-4) = -8x}$

Step5: Calculate bottom-right term

Multiply $-6 \times -4$:
$\boldsymbol{-6 \times (-4) = 24}$

Step6: Combine like terms

Sum $36x + (-8x) = 28x$, then combine all terms:
$\boldsymbol{-12x^2 + 28x + 24}$

Answer:

Simplified form: $-12x^2 + 28x + 24$
Box table filled terms:

	$2x$	$-6$
$-4$	$-8x$	$24$