Question

which of the following expression are equivalent to 3(2x - 8)? select all that apply. A 6x - 24 B 6x - 8 C 2(3x - 6) D 2(3x - 12) E 6(x - 4)

Answer 1

Given:

The expression is:

$3(2x-8)$

Required:

To select all the options which are equivalent to the given expression.

Explanation:

The expression is 3(2x-8).

Use the distributive property.

$3(2x-8)=6x-24$

Which matches with option (A).

Take out common 2 from the expression 6x-24.

$6x-24=2(3x-12)$

This is equivalent to option (D).

Now take out common 6 from the expression 6x-24.

$6x-24=6(x-4)$

This is equivalent to option (E).

Final Answer:

Thus the given expression is equivalent to the options (A), (D) and (E).