### Home > CCA > Chapter 3 > Lesson 3.3.2 > Problem3-103

3-103.

Multiply each of the following expressions. Show all of your work. Homework Help ✎

1. $(x+3)(4x+5)$

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.

$4x^2+12x+5x+15$

$4x^2+17x+15$

2. $(−2x^2−4x)(3x+4)$

Follow the steps in part (a).

$−6x^3−20x^2−16x$

3. $(3y−8)(−x+y)$

Follow the steps in part (a).

4. $(y−4)(3x+5y−2)$

Follow the steps in part (a).

 $+3$ $x$ $4x$ $+5$
 $+3$ $12x$ $15$ $x$ $4x^2$ $5x$ $4x$ $+5$