Distributive law
The important rule of the distributive law (distributive property) is:
!
Remember
You can either multiply a sum with a factor or multiply each summand with this factor and add the partial products.
$a\cdot(b+c)=a\cdot b+a\cdot c$
$a\cdot(b+c)=a\cdot b+a\cdot c$
Examples
- $5\cdot(6+3)=5\cdot6+5\cdot3$
$5\cdot9=30+15$
$45=45$ - $-8\cdot(4+5)=-8\cdot4+(-8)\cdot5$
$-8\cdot9=-32-40$
$-72=-72$