1. THE DISTRIBUTIVE PROPERTY: Factoring the Expression

2. REMEMBERING THE DISTRIBUTIVE PROPERTY
a(b + c) = ab + ac
Solve:
4(t – 5)
6y(5 + 4)
3(3r + 9)
7(4 – 1h)
Are they equivalent?
3(4f – 6) = 12f – 18
2(5 + 4d) = d
5g(4 + 8) = 20g + 40g

3. FACTORING AN EXPRESSION
20g First, find the GCF of the two numbers.
4( ) Write the GCF outside the parentheses.
4( 5g + 12) Divide the GCF into both the numbers. Keep the variable the same, and keep the sign the same.

4. 16b + 40 First, find the GCF of the two numbers. 8
Write the GCF outside the parentheses.
8( )
Divide the GCF into both the numbers. Keep the variable the same, and keep the sign the same.
8( 2b +5)

5. 12f + 36 First, find the GCF of the two numbers. 12
Write the GCF outside the parentheses.
12( )
Divide the GCF into both the numbers. Keep the variable the same, and keep the sign the same.
12( f + 3)

6. 24 -42r First, find the GCF of the two numbers. 6
Write the GCF outside the parentheses.
6( )
Divide the GCF into both the numbers. Keep the variable the same, and keep the sign the same.
6( 4 + 7r)

7. PRACTICE

8. 4d + 8 4(d + 2) 21p + 35q 7(3p + 5q) 18x + 9y 9(2x + y) 20 – 16c
Create equivalent expressions by factoring the expression.
4d + 8
4(d + 2)
21p + 35q
7(3p + 5q)
18x + 9y
9(2x + y)
20 – 16c
4(5 – 4c)

9. 24g – 8h
8(3g - h)
4m + 4p
4(m + p)
15x - 25
5(3x + 5)
56 – 48c
8(7 – 6c)

10. 30d + 18
6(5d + 3)
49d + 63
7(7d + 9)
36y – 40
4(9y - 10)
72d – 81
9(8d – 9)