CPM Homework Help : CAAC Problem 5-50

5-50.

Multiply each of the following expressions. Show all of your work. Homework Help ✎
1. (x + 3)(4x + 5)
2. (−2x − 4)(3x + 4)
3. (3y − 8)(−x + y)
4. (y − 4)(3x + 5y − 2)

Hint (a):

Use a generic rectangle to multiply.

Hint 2(a):

Put the products on the outside of the rectangle.

Hint 3(a):

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

Hint 4(a):

Write the total area as a sum.

4x² + 12x + 5x + 15

Answer (a):

4x² + 17x + 15

Hint (b):

Follow the steps in part (a).

Hint (c):

Follow the steps in part (a).

Answer (b):

−6x³ − 20x² − 16x

Hint (d):

Follow the steps in part (a).

Answer (d):

3xy + 5y² − 22y − 12x + 8