How do you rewrite the expression #(3times6)-(3times3)# using the distributive property?

1 Answer
Nov 16, 2016

Answer:

#3(6-3)\leftrightarrow9#
Depends on what you really need; see explanation for details.

Explanation:

Distributive property

#a(b+c)=ab+ac#

Expression

#(3\times6)-(3\times3)# can also be written as #3(6)-3(3)#.

  • You see the common factor here is #\color(red)(3)#:
    #\color(red)(3)(6)-\color(red)(3)(3)#
  • This means the other two numbers, #\color(teal)(6)# and #\color(mediumaquamarine)(3)#, are part of a subtraction set that is multiplied by 3.
    #\color(red)(3)(\color(teal)(6)-\color(mediumaquamarine)(3))#
  • So your answer is...

#3(6-3)#.

If you need to simplify, then subtract the values inside the parentheses and multiply by 3 #\rightarrow 3(6-3)=3(3)=9#