Question

use the box method to distribute and simplify (-2x - 1)(-6x - 3). drag and drop the terms to the correct locations of the table. (-2x - 1)(-6x - 3)

Explanation:

Step1: Set up the box

Create a 2x2 box. Label the rows with the terms of the first binomial $-2x - 1$ and the columns with the terms of the second binomial $-6x - 3$.

Step2: Multiply terms in the box

• Multiply the first - row first - column terms: $(-2x)\times(-6x)=12x^{2}$.
• Multiply the first - row second - column terms: $(-2x)\times(-3) = 6x$.
• Multiply the second - row first - column terms: $(-1)\times(-6x)=6x$.
• Multiply the second - row second - column terms: $(-1)\times(-3)=3$.

Step3: Combine like terms

The like terms are $6x$ and $6x$. Combine them: $12x^{2}+(6x + 6x)+3=12x^{2}+12x + 3$.

Answer:

$12x^{2}+12x + 3$