1. Multiplying Binomials and Special Cases
Pearson 11.3 and 11.4

2. (2x – 6)(3x + 2) Distributive Method Distribute the first binomial
2x(3x + 2) – 6(3x + 2)
Multiply
6x2 + 4x – 18x – 12
Simplify
6x2 – 14x – 12

3. (3x + 4)(5x – 4) Using a Table Set up table
Multiply and fill in blanks
Simplify
15x2 + 8x – 16 5x –4 3x
15x2
-12x 4
20x
-16

4. (5x + 2)(6x – 4) FOIL Method – 8 F – First Terms 30x2 O – Outer Terms
I – Inner Terms
12x
L – Last Terms
– 8
Simplify
30x2 – 8x – 8

5. Multiplying a Binomial and Trinomial
(2x2 – 4x + 1)(5x + 7)
Set up Table
2x2
-4x 1 5x
10x3
-20x2 7
14x2
-28x
Simplify
10x3 – 6x2 – 23x + 7

6. Be Very Careful!!!! (3x + 5)2 = (3x + 5)(3x +5) It does not equal
Square of a Binomial
(3x + 5)2
Be Very Careful!!!!
(3x + 5)2 = (3x + 5)(3x +5)
It does not equal
(3x)2 + (5)2
(a + b)2 = a2 + 2ab + b2
a = 3x b = 5
Substitute
(3x)2 + 2(3x)(5) + (5)2
Solve and Simplify
9x2 + 30x + 25

7. (4x – 6)2 Square of a Binomial (a – b)2 = a2 – 2ab + b2 a = 4x b = 6
Substitute
(4x)2 – 2(4x)(6) + (6)2
Solve and Simplify
16x2 – 48x + 36

8. Product of a Sum and Difference
(5x – 3)(5x + 3)
(a – b)(a + b) = a2 – b2
a = 5x b = 3
Substitute
(5x)2 – (3)2
Solve and Simplify
25x2 – 9