1. 7.4 Distribution and Conjugates
Brett Solberg AHS ‘11-’12

2. Warm-up 1) Multiply 3 4 × 3 16 2) Simplify 128 2
3) Add 9𝑦 𝑥 3 +4 𝑥 2
What HW problems do you want to review?

3. Today’s Agenda Distributing Radicals Rationalizing the Denominator
Conjugates
Don’t forget about the green midyear review packet

4. Distribution Property
a(b + c) =
8(2x + 1) = =

5. Distribution Examples= =

6. Distribution Property
(a + b)(a - b) =
(x + 4)(x – 4) =
(8 −5 𝑥 ) 8+5 𝑥 =

7. Distribution Property
(a + b)2 =
(x + 3)2 =
2 5 −𝑦 2 =

8. Distribution Examples
( 𝑎 ) 3 𝑏 −4 3 = =

9. Rationalizing the Denominator
We do not want radicals in the denominator
Multiply by a radical to make the denominator an integer.
2 3

10. Rationalizing the Denominator
4𝑎 3𝑏
4 𝑥 5 3 𝑦 3

11. Rationalizing the Denominator
1 4 2𝑥
7 3 𝑥 5 2𝑦

12. Conjugate
a + 𝑏 a - 𝑏
5 − 3

13. Using Conjugates
− 7

14. Using Conjugates
2 3 − −3

15. Homework
7.4 pg – 51 multiples of 3