How do you distribute $13x(3y + z)$ ?

Question

7585 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2014-09-28T18:11:23

For this property, I'm going to start with the definition and, then, do an example after.

The Distributive Property:

$a ( b + c ) = ab + ac$ ---- (i)

Where $a$ , $b$ and $c$ are any real numbers.

First, let me remind you what it means when two letters are right next to each other in math. This is an Algebra thing!

$a * ( b + c ) = a * b + a * c$
When two things are next to each other, it means multiplication!

$13x ( 3y + z)$

$a ( b + c ) = ab + ac$ ---- (i)
as per the equation (i) $a= 13x$ , $b=3y$ , $c = z$

$13x ( 3y + z) = 13x . 3y + 13x .z$

$= 13*3*x*y + 13 x*z$

$=39 xy + 13xz$

How do you distribute 13x(3y + z)13x(3y + z)?