CPM Homework Help : CAAC 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 ✎
1. (x + 2)(x + 8)
2. (2m + 30)(m + 20)
3. x(y + 10)
4. (2x + 3)(3x + 4)

Step 1(a):

Create a generic rectangle.

Step 2(a):

Put the products on the outside.

Step 3(a):

Multiply the expressions.

Step 4(a):

Write the areas as a sum.
x² + 2x + 8x + 16

Answer (a):

(x + 2)(x + 8) = x² + 10x + 16

Hint (b):

Follow the steps in part (a).

Hint (c):

Use the Distributive Property.

Answer (c):

x(y + 10) = xy + 10x

Hint (d):

Follow the steps in part (a).

Answer (d):

(2x + 3)(3x + 4) = 6x² + 17x + 12