1. 5.10 Multiplying Binomials: Special Products

2. Review: FOIL
(x +2) (x-2)
2. (x-4) (x+4)
3. (2x+5)(2x-5)
4. (x-6)(x+6)

3. Helpful Hint
When the binomials are the same except for one is + and the other is –:
The middle term will always cancel out
Square the first term
Square the second term

4. Difference of Two Squares
Rule:
(a + b)(a – b)
=a2 – b2

5. Ex 1:
(3x + 2)(3x – 2) =
(3x)2
(2)2 -
(ALWAYS)
9x2 4

6. Ex 2:
(x + 3)(x – 3) =
x2 - 9

7. Ex 3:
(2x + 1)(2x – 1) =
4x2 - 1

8. Ex 4: (2x3 + y)(2x3 – y) = (2x3) = (2x3)(2x3) = 2•2•x3•x3 4x6 – y2

9. Ex 5:
(4x4 + 3y)(4x4 – 3y) =
16x8 – 9y2

10. Ex 6:
(3x + 5)(3x – 5) =
9x2 - 25

11. Assignment: Page 247, 1 – 20 all