1. WU #19 Simplify: 4x2 – 2x + 4 + 3x2 + 4x – 1 Multiply: (x + 7)(x – 2)

2. 5.10 Multiplying Binomials: Special Products
Goal: To multiply the difference of two squares and square a binomial

3. Foil
Multiply: (x + 3)(x – 3)
x2 – 3x + 3x - 9
x2 - 9

4. The square of the first term minus the square of the second.
Difference of 2 Squares
The product 0f
(A + B) and (A – B)
is always
The square of the first term minus the square of the second.
(a + b)(a – b) = a2 – b2

5. Multiply (Mental Math)
(3x + 2)(3x – 2) =
(3x)2
(2)2 -
(ALWAYS)
9x2 4

6. Multiply (Mental Math)
(x + 3)(x – 3) =
x2 - 9

7. Multiply (Mental Math)
(2x + 1)(2x – 1) =
4x2 - 1

8. Multiply (Mental Math)
(2x3 + y)(2x3 – y) =
(2x3) = (2x3)(2x3) = 2•2•x3•x3
4x6 – y2
4x6 -

9. Multiply (Mental Math)
(4x4 + 3y)(4x4 – 3y) =
16x8 – 9y2

10. Multiply (Mental Math)
(3x + 5)(3x – 5) =
9x2 - 25

11. Multiply (Mental Math)

12. Multiply (Mental Math)

13. Multiplying a binomial by itself is called “squaring the binomial”
Multiply: (x + 3)2
(x + 3)(x + 3)
x2 + 3x + 3x + 9
x2 + 6x + 9

14. Multiplying a binomial by itself is called “squaring the binomial”
Multiply: (x – 5)2
(x -5)(x-5)
x2 - 5x - 5x + 25
x2 - 10x + 25

15. Square of a Binomial Rules
(a + b)2 = a2 + 2ab + b2
(a - b)2 = a2 – 2ab + b2

16. Multiply x2 +2(x)(3) + 32 (x + 3)2 =
Use the rule : (a+b)2 = a2 +2ab +b2
a=x and b = 3, plug it into the formula
x2 +2(x)(3) + 32
x2 + 6x + 9

17. Multiply: Mentally Using the Formula
+25

18. Multiply: Mentally Using the Formula
(2x + 7)2 =
4x2 + 28x + 49

19. Multiply: Mentally Using the Formula
(3x – 5y)2 =
9x2 - 30xy + 25y2

20. Multiply: Mentally Using the Formula
(4x3 – 3x)2 =
16x6 - 24x4 + 9x2

21. Assignment: Page 247 (2-40) even