On a recent exam, a student was asked to simplify the expression: 12(8x − 4y) − 3(12y + 9x) Their work is shown below: Step 1: 12(8x − 4y) − 3(12y + 9x) Step 2: 96x − 48y − 36y + 27x Step 3: 96x + 27x − 48y − 36y Step 4: (96x + 27x) + (−48y − 36y) Step 5: 123x − 84y Part A: In which step did they make a mistake, and what was it? (2 points) Part B: How would you correct the mistake and solve the problem? Show all of your work. (2 points)

Respuesta :

Step-by-step explanation:

Part A made mistake in step 3

Let's simplify step-by-step.

12(8x−4y)−3(12y+9x)

Distribute:

=(12)(8x)+(12)(−4y)+(−3)(12y)+(−3)(9x)

=96x+−48y+−36y+−27x

Combine Like Terms:

=96x+−48y+−36y+−27x

=(96x+−27x)+(−48y+−36y)

=69x+−84y

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