Question

box method level 2 (guided)
score: 0/10 penalty: none
question
use the box method to distribute and simplify $(6x^2 + 6x - 5)(x - 2)$. drag and drop the terms to the correct locations of the table.
$(6x^2 + 6x - 5)(x - 2)$
rows: 0 columns: 0
answer attempt 1 out of 2
you must answer all questions above in order to submit.

Explanation:

Step1: Create box with rows/columns

Rows: $6x^2$, $6x$, $-5$; Columns: $x$, $-2$

	$x$	$-2$
$6x$	$6x^2$	$-12x$
$-5$	$-5x$	$10$

Step2: Multiply each pair

Calculate cell values:
$6x^2 \cdot x = 6x^3$, $6x^2 \cdot (-2) = -12x^2$
$6x \cdot x = 6x^2$, $6x \cdot (-2) = -12x$
$-5 \cdot x = -5x$, $-5 \cdot (-2) = 10$

Step3: Combine like terms

$6x^3 + (-12x^2 + 6x^2) + (-12x -5x) + 10$
$=6x^3 -6x^2 -17x +10$

Answer:

$6x^3 - 6x^2 - 17x + 10$