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.

Related terms

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