Distributive Property Recap

• 10n+11

• 7n + 24

• 4abc

• 4a+4b-4c

• 4bc

• 4a-4b+4c

• 3p+4r

• 6.5p+8.5r

• 4p+3r

• 12p+16r

What is the Greatest Common Factor (what ends up outside the parenthesis?) for the expression:

8d+20e

Mathematical Equivalence

ON

Answer explanation

4 is the greatest factor that 8d and 20e have in common. We can't factor out the variable from either 8d or 20e since their variables are not the same.

What is the Greatest Common Factor (what ends up outside the parenthesis?) for the expression:

12r+22

Mathematical Equivalence

ON

Answer explanation

2 is the greatest factor that 12r and 22 have in common. We can't factor out the variable from either 12r or 22 since their variables are not the same.

What is the Greatest Common Factor (what ends up outside the parenthesis?) for the expression:

18xy + 6xz

Mathematical Equivalence

ON

Answer explanation

6 is the greatest factor that 18xy and 6xz have in common. Since both 18xy and 6xz contain the variable x we can also factor that out of both terms. So we factor out 6x.

What is the Greatest Common Factor (what ends up outside the parenthesis?) for the expression:

21t + 6v + 15

Mathematical Equivalence

ON

Answer explanation

3 is the greatest common factor of 21t, 6v, and 15. Since none of our terms share a common variable we cannot factor those out.

What is the Greatest Common Factor (what ends up outside the parenthesis?) for the expression:

34xyz - 51xyk + 17xym

Mathematical Equivalence

ON

Answer explanation

17 is the greatest common factor of 34xyz, 51xyk, 17xym. Since the variables xy can be found in all three terms we can also factor those out. So we would factor out 17xy.