Question

use the box method to distribute and simplify $(x^2 + 3x)(2x + 2)$. drag and drop the terms to the correct locations of the table.
$(x^2 + 3x)(2x + 2)$
rows:
columns:

Explanation:

Step1: Set up box dimensions

We need a 2-row (for terms of $x^2+3x$) and 2-column (for terms of $2x+2$) table.

Step2: Fill box with products

	$2x$	$2$
$3x$	$3x \cdot 2x = 6x^2$	$3x \cdot 2 = 6x$

Step3: Combine like terms

Add $2x^2 + 6x^2 = 8x^2$

Step4: Write simplified polynomial

Combine all terms in order of degree: $2x^3 + 8x^2 + 6x$

Answer:

Filled box table:

	$2x$	$2$
$3x$	$6x^2$	$6x$

Simplified expression: $2x^3 + 8x^2 + 6x$