Question

Which expression is not equivalent to -1.5(-6m+8n).

Answer 1

Answer:

D

Step-by-step explanation:

-1.5(-6m+8n) = 9m-12n

3(3m -4n) = 9m - 12n

9m -12n = 9m -12n

-6(-1.5m +2n) = 9m - 12n

-2(-4.5m+ 4n) = 9m - 8n

Answer 2

Answer: D. -2(-4.5m + 4n)

Step-by-step explanation:

   First, let us simplify -1.5(-6m+8n).

Given:

-1.5(-6m + 8n)

Distribute:

9m - 12n

[A] ✗

   9 /3 = 3 and 12 / 3 = 4

   This means that 3(3m - 4n) = 9m - 12n = -1.5(-6m+8n)

Option A is not our answer.

[B] ✗

   Using this simplified version we did above, option B is not our answer as 9m - 12n = 9m - 12n and 9m - 12n = -1.5(-6m+8n).

[C] ✗

   We will distribute option C to see if we reach the same expression. Seeing below, we do, so option C is not our answer.

-6(-1.5m + 2n)

9m - 12n

[D] ✓

   Since none of the other options are correct, the answer to your question D because it is not equivalent.

                Answer:

          D. -2(-4.5m + 4n)