1.4 Distributive Property - Distributive Property 2-7-2...

Distributive Property
2-7-2

Distributive Property
•
To illustrate the distributive property look at the
problem 3(2x-7).
•
This problem says 3 times 2x-7
–
or 3 of (2x-7).
•
Multiplying by 3 means add 2x-7 over and over.
•
2x-7+2x-7+2x-7
•
Simplify this by using the commutative property.
2x+2x+2x-7-7-7=3(2x)+3(-7)

Distributive Property
•
To use the distributive property, multiply
each term inside the parenthesis by the
multiplier.

Watch out for…
•
exponent rules
•
multiplication when negatives are involved
•
combining like terms

Examples
( 29
5 3 8 15 40 - = - x x

Examples
( 29
2
3 7 6 21 18 x x x x - = -
( 29
2 2 3
4 6 5 24 20 z z z z - - = - +

Examples
( 29
5 8 5 8 s s - - = - +
( 29
4 2 3 9 4 6 18 2 18 x x x x x - - = - + = - +

Examples
( 29
2 3 2 3 3 2 5
3 7 5 21 15 w y w y w y w y - = -