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

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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#