The Distributive Property
The Distributive PropertyThe process of distributing the number
on the outside of the parentheses to each term on the inside.
a(b + c) = ab + ac
a(b - c) = ab – acExample #1
5(x + 7)
= 5 • x + 5 • 7
= 5x + 35
Example #2
3(m - 4)=3 • m - 3 • 4=3m - 12
Example #3
-2(y + 3)= -2 • y + (-2) • 3= -2y + (-6)= -2y - 6
Be very careful with the signs!
Example #4 and #5
-7(2x – 5)= -7 • 2x - 7 • (-5)= -14x + 35
x(3x – 8)= x • 3x + x • (-8)= 3x2 - 8x
Be very careful with the signs!
Example #6
-½x(2x – 6)= - ½x• 2x - ½x• (-6)= -x2 + 3x
Your turn
a)7(3x – 8)
b)-5(6 – x)
c)x(x + 9)
d)
e)
)1512(3
1yx
)84(2 2 xxx
Homework
Worksheet
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