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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

Verified Answer :

hannahmgilbert1

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:

Option C is correct.

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

Step-by-step 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, \(6x - 18\)


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