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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

Respuesta :

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.

[tex]6x - 18[/tex] is the expression that shows the result of applying the distributive property to  [tex]3(2x-6)[/tex]

Step-by-step explanation:

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

The distributive property says that:

[tex]a \cdot (b+c) = a\cdot b + a\cdot c[/tex]

Apply distributive property on [1] we have;

[tex]3 \cdot (2x) - 3 \cdot (6)[/tex]

Simplify:

[tex]6x - 18[/tex]

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