Question

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

A. 51 - 3
B. 63 - 6
C. 2 - 18
D. 62 - 18

Answer 1

The result of applying the distributive property to the expression 3(2x - 6) results in 6x - 18, but this option is not provided in the choices, suggesting there is a typo in the options given.

Step-by-step explanation:

The question asks about applying the distributive property to the expression 3(2x - 6). The distributive property states that a(b + c) is the same as ab + ac. Thus, you can distribute the 3 to both 2x and -6 in the expression.

Applying this property, we have:

• 3 × 2x = 6x
• 3 × -6 = -18

So, the expression that shows the result of applying the distributive property to 3(2x - 6) is 6x - 18. Looking at the provided options, none of the choices exactly match the correct expression. Therefore, it's likely there's been a typo, and the correct answer would be 6x - 18 if it were listed.