### Home > AC > Chapter 5 > Lesson 5.1.5 > Problem 5-50

5-50.

Multiply each of the following expressions. Show all of your work.

(

*x*+ 3)(4*x*+ 5)(−2

*x*− 4)(3*x*+ 4)(3

*y*− 8)(−*x*+*y*)(

*y*− 4)(3*x*+ 5*y*− 2)

Use a generic rectangle to multiply.

Put the products on the outside of the rectangle.

Use length times width to find the areas of the small rectangles.

Write the total area as a sum.

4*x*^{2} + 12*x* + 5*x* + 15

4*x*^{2} + 17*x* + 15

Follow the steps in part (a).

Follow the steps in part (a).

−6*x*^{2} − 20*x* − 16

Follow the steps in part (a).

3*xy* + 5*y*^{2} − 22*y* − 12*x* + 8