Question

use the box method to distribute and simplify $(-6x - 5)(-5x + 2)$. drag and drop the terms to the correct locations of the table. $(-6x - 5)(-5x + 2)$

Explanation:

Step1: Split binomial terms

Break $(-6x-5)$ and $(-5x+2)$ into individual terms: $-6x, -5$ and $-5x, +2$

Step2: Fill box with products

Calculate each cell product:

1. $(-6x) \times (-5x) = 30x^2$
2. $(-5) \times (-5x) = 25x$
3. $(-6x) \times 2 = -12x$
4. $(-5) \times 2 = -10$

Step3: Combine like terms

Sum the box terms: $30x^2 + 25x - 12x - 10$

Step4: Simplify the expression

Combine $25x - 12x = 13x$, so final form: $30x^2 + 13x - 10$

Answer:

Simplified form: $30x^2 - 12x + 25x - 10 = 30x^2 + 13x - 10$
Box table filled terms:

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