### Home > AC > Chapter 5 > Lesson 5.2.3 > Problem5-85

5-85.

Find each of the following products by drawing and labeling a generic rectangle or by using the Distributive Property.

1. $(x+2)(x+8)$

Create a generic rectangle.

Put the products on the outside.

Multiply the expressions.

Write the areas as a sum.
$x^2+2x+8x+16$

$\left(x+2\right)\left(x+8\right)=x^2+10x+16$

1. $(2m+30)(m+20)$

Follow the steps in part (a).

1. $x(y+10)$

Use the Distributive Property.

$x(y+10)=xy+10x$

1. $(2x+3)(3x+4)$

Follow the steps in part (a).

$\left(2x+3\right)\left(3x+4\right)=6x^2+17x+12$