Factoring the Distributive Property

Factor using the Distributive Property

72+54

• 18(4+3)

• 9(8+6)

• 3(24+18)

• 4(3+4)

Factor using the Distributive Property

99+36

• 11(9+4)

• 9(11+4)

• 3(33+12)

• 3(33-12)

Factor using the Distributive Property

7+21

• 1(7+21)

• 7(1+3)

• 28

• 7

Factor using the Distributive Property

55+22+11

• 11(5-2-1)

• 11

• 1(55+22+11)

• 11(5+2+1)

Answer explanation

The GCF of 45 and 18 is 9 so it goes outside of the parenthesis.

9(_+_)

To find the inside number you have to see what you can multiply 9 by to get 45 and to get 18. 9 x 5 = 45 and 9 x 2 = 18

9(5+2)

Factor using the Distributive Property

42+24

• 2(21+12)

• 3(14+8)

• 6(7+4)

• 66

What property are we using in the problem below. 55+22 (11x5)+(11x2) Answer: 11(5+2)

• Commutative Property of Addition

• Associative Property of Multiplication

• Distributive Property

• Identity Property of Addition

Factor using the Distributive Property

24+20

• 2(12+10)

• 24+20

• 4(6+5)

• 5(6-4)

Factor the following linear expression:
20y - 5

• 4(5y - 1)

• 5(4y - 1)

• 20(y - 5)

• y(20 - 5)

Factor 16x+32 (Use the GCF!)

• 8(2x+4)

• 16(x+2)

• 7(8x+32)

• 2(8x+16)

Factor Completely:

-9u - 81

• 9(u + 9)

• -9(u - 9)

• -9(u + 9)

• -90u