The distributive property says that multiplying a sum is the same as multiplying each part and adding: a times (b plus c) equals ab plus ac. It is what lets you expand brackets and factor expressions.
Math Dictionary / Distributive Property
Distributive Property
The distributive property multiplies a factor by each term inside parentheses.
AlgebraGrade 6Grade 7Grade 8Algebra 1GEDSATACT
What it means
It lets you rewrite expressions such as a(b + c) as ab + ac.
Also called: distribute
Examples
| 3(x + 4) = 3x + 12 |
| -2(a – 5) = -2a + 10 |
| 5(2 + 7) = 10 + 35 |
Common mistake
Remember to multiply every term inside the parentheses, including signs.
Try one
Question: Expand 4(x + 3).
Show answer
4x + 12.