Question

23. Are the two expressions shown below

equivalent? Explain.
4n+ 6m - 12k and 2(2n + 3m - 6k)

Answer 1

Yes, 4n+ 6m - 12k and 2(2n + 3m - 6k) are indeed equivalent.

Explanation:

All we have to do in this problem is simplify the second equation since the first one is fully simplified:

2(2n+3m-6k) is a fancy way of saying 2 * everything in the parenthesis.

2 * 2n = 4n

2 * 3m = 6m

2 * -6k (Yes, we keep the negative) = -12k

4n+6m-12k does equal 4n+6m-12k

Answer 2

Answer: Yes, they are equivalent!

Explanation:

First, let factor 2(2n + 3m - 6k)

2(2n + 3m - 6k)

4n + 6m -12k

We see that the two of them are the same, so they are equivalent!