Question

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

Answer 1

`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`