Question

Find the product for each polynomial expression by using the area model or double distributive 6v(2v+3)

Answer 1

Explanation:

Here we have the following polynomial:

$6v(2v+3)$

The problem states that this expression represents an area model so we can think of this as the area of a rectangle whose dimensions are:

$L=6v \\ \\ W=2v+3 \\ \\ \\ L:Length \\ \\ W:Width \\ \\ \\ A=L\times W \\ \\ A=6v(2v+3) \\ \\ \\ A:Area$

Therefore, by applying distributive property:

$6v(2v+3)=6v(2v)+6v(3)=(6)(2)v\cdot v+(6)(3)v=\boxed{12v^2+18v}$