Need help with this please

Question

use distrubutive property to simplify

 

 

-32*6+29*6

 

4*19-4*(11)

 

(-8)*10+3*(-8)

Answer 1

The distributive property is:

 

a*(b+c) = a*b + a*c 

 

Where a, b, and c are real numbers.  Notice that the a appears in both terms: a*b + a*c.  So look for the number that appears in both terms.  I'll do the first one:

 

-32*6 + 29*6

 

The number 6 appears in both terms.  Hence a = 6, b= -32 and c = 29

 

-32*6 + 29*6 = 6*(-32+29) = 6(-3) = -18

 

Can you do the remaining two?