What's equivalent to 14+20t using the distributive property

Question

thanks

Answer 1

The Distributive Property of Multiplication Over Division says:

    a(b+c) = ab + ac

 

So, if you have:

    ab + ac

  then you make it

   a(b+c)

 

This problem gives:

    14 + 20t

 

That has to be broken down as much as possible (here is where knowing about prime numbers is helpful).

    14 + 20t

    2*7  + 2*2*5*t             [those are the smallest units that we can have]

 

Now, what is common (that is, what was distributed already)?   The "2" --

    2(7+10t)