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

5-85.

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

(

*x*+ 2)(*x*+ 8)(2

*m*+ 30)(*m*+ 20)*x*(*y*+ 10)(2

*x*+ 3)(3*x*+ 4)

Create a generic rectangle.

Put the products on the outside.

Multiply the expressions.

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

(*x* + 2)(*x* + 8) = *x*² + 10*x* + 16

Follow the steps in part (a).

Use the Distributive Property.

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

Follow the steps in part (a).

(2*x* + 3)(3*x* + 4) = 6*x*² + 17*x* + 12