### Home > CCA > Chapter 3 > Lesson 3.2.4 > Problem 3-70

3-70.

Use a generic rectangle to multiply the following expressions. Write each solution both as a sum and as a product. Homework Help ✎

Draw a generic rectangle and label the length and width.

(2

*x*+ 5) (*x*+ 6) = 2*x*^{2}+17*x*+ 30Fill in the grid by multiplying the length and width of each box.

Write an equation showing the product is the sum of the parts.

Area as a sum: 2*x*^{2}+ 12*x*+ 5*x*+ 30 = 2*x*^{2}+ 17*x*+ 30

Area as a product: (2*x*+ 5)(*x*+ 6)

See the help for part (a).

Area as product: (

*m*− 3)(3*m*+ 5)

Area as sum: 3*m*^{2}− 4*m*− 15

See the help for part (a).

See the help for part (a).