Question

Which expression shows the result of applying the distributive property to 3(2x−6)3(2x−6) ?

2x−182x−18

5x−35x−3

6x−186x−18

6x−6

Answer 1

If you are distributing 3(2x-6) then you would do it this way:
(3 x 2x)(3 x (-6))
(6x) (-18)
6x-18 (you can simplify this by dividing by 6)
x-6 would be your answer but I don't see it as one of the options. Are all of these options typed out correctly?

Answer 2

Option C is correct.

`6x - 18` is the expression that shows the result of applying the distributive property to
`3(2x-6)`

Explanation:

Given that:
`3(2x-6)` ......[1]

The distributive property says that:

`a \cdot (b+c) = a\cdot b + a\cdot c`

Apply distributive property on [1] we have;

`3 \cdot (2x) - 3 \cdot (6)`

Simplify:

`6x - 18`

Therefore, the expression that shows the result of applying the distributive property to
`3(2x-6)` is,
`6x - 18`