Question

question
use the box method to distribute and simplify $(-2x - 1)(6x + 4)$. drag and drop the terms to the correct locations of the table.
answer attempt 1 out of 2
you must answer all questions above in order to submit.

Explanation:

Step1: Split terms for box table

Split $(-2x - 1)$ and $(6x + 4)$ into individual terms: $-2x, -1$ and $6x, 4$. Populate the box table:

	$6x$	$4$
$-1$	$(-1)(6x)$	$(-1)(4)$

Step2: Calculate each box entry

Compute the product for each cell:
$(-2x)(6x) = -12x^2$
$(-2x)(4) = -8x$
$(-1)(6x) = -6x$
$(-1)(4) = -4$

Step3: Sum all terms and simplify

Combine the calculated terms and combine like terms:

$$\begin{align*} -12x^2 + (-8x) + (-6x) + (-4) &= -12x^2 + (-14x) - 4 \\ &= -12x^2 -14x -4 \end{align*}$$

Answer:

Completed box table:

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

Simplified expression: $-12x^2 -14x -4$