how do I write distributive property as an equivalent algebraic wxpression

Question

1(u-3)     write this as an equivalent algebraic expression

 

Answer 1

Linda,

 

the distributive property is the distribution of multiplication over addition.

 

The example usually given is 

a(b+c) = ab + ac

 

if we look at your equation and substitute the following

a=1

b = u

c = (-3)

 

we would get

1(u-3) = 1u +1(-3) = u -3

 

I would also note that the distributive property also works with subtraction

a(b-c) = ab - ac

 

if you need more help/examples try out the purple math website at

 

http://www.purplemath.com/modules/numbprop.htm

 

good luck