# How do you use the distributive property to rewrite and evaluate 2(6+10)?

Apr 30, 2017

See explanation...

#### Explanation:

The left distributive property of multiplication over addition tells us that for any $a$, $b$ and $c$:

$a \left(b + c\right) = a b + a c$

There is also a right distributive property:

$\left(a + b\right) c = a c + b c$

In our example, we can use the left distributive property with $a = 2$, $b = 6$ and $c = 10$ as follows:

$2 \left(6 + 10\right) = \left(2 \cdot 6\right) + \left(2 \cdot 10\right) = 12 + 20 = 32$