Multiplying Binomials - using area model

1
Objective To multiply binomials using Area
Model
2
Draw a rectangle.
What is the area of the rectangle?
Split it into four.
Fill in the following.
3
5
4
20
12
6
10
2
12 20 6 10
48 square units
3
What is the area of this rectangle?
(2x 6)(3x 1) 6x2 20x 6
2x
6
3x
18x
6x2
2x
6
1
6x2 18x 2x 6
6x2 20x 6
4
What is the area of this rectangle?
(4x - 3)(5x 2)
20x2 - 7x - 6
4x
-3
5x
-15x
20x2
8x
-6
2
20x2 - 15x 8x - 6
20x2 - 7x - 6
5
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• Practice! Multiply the following.
• (5x 1)(2x 4)
• (x 7)(x 3)
• (4x 2)(x 1)
• (3x 2)(x 2)
• (x 5)(x 5)
• (x 5)(x 5)
• (x 5)(x - 5)

1. (x 1)(2x 9)
2. (x 5)(x 8)
3. (3x 2)(x 7)
4. (-5x 2)(x 3)
5. (x 2)(x 2)
6. (x 2)(x 2)
7. (x 2)(x - 2)