Question 1

4(3x+2)

The expression 12x + 8 can be factored into 4(3x + 2), showing that this option is equivalent to the original expression.

A) 4(3x+2)

This option is correct because expanding 4(3x + 2) yields 12x + 8. Thus, it accurately represents the original expression.

B) 4(3x+8)

This option is incorrect because expanding 4(3x + 8) results in 12x + 32, which does not match the original expression of 12x + 8.

C) 4(3x+2x)

This option is incorrect as well. Expanding 4(3x + 2x) simplifies to 20x, which is not equivalent to 12x + 8.

D) 20x

This option is incorrect because it does not represent the original expression. The value 20x does not relate to 12x + 8 in any way.

Conclusion

The correct choice, 4(3x + 2), is the only option that accurately factors the original expression 12x + 8. All other choices either misrepresent the original expression or lead to different results, confirming that A is definitively the right answer.