QuestionUse the distributive property to simplify . Identify the correct student and explain mistakes in others' work.
Studdy Solution
STEP 1
Assumptions1. The students are asked to use the distributive property to simplify the expression .
. The distributive property states that .
3. The students' work is shown step by step.
STEP 2
Let's start by checking the work of Student1. The first step is to distribute the - across the terms inside the parenthesis.
STEP 3
Now, calculate the multiplication.
STEP 4
Finally, combine the constants.
This is the same as the work shown by Student1, so Student1's work is correct.
STEP 5
Next, let's check the work of Student2. The first step is the same as for Student1, distribute the -3 across the terms inside the parenthesis.
STEP 6
Now, calculate the multiplication.
STEP 7
Finally, combine the constants.
This is the same as the work shown by Student2, so Student2's work is correct.
STEP 8
Finally, let's check the work of Student3. The first step is the same as for Student1 and2, distribute the -3 across the terms inside the parenthesis.
STEP 9
Now, calculate the multiplication.
STEP 10
Next, combine the constants.
This is the same as the work shown by Student3 up to this point, so Student3's work is correct up to this point.
STEP 11
However, Student3 then makes an error by trying to combine the constant and the term with the variable, which is not possible.
So, Student3's work is incorrect.
In conclusion, both Student and Student have the correct work, while Student3 made a mistake in the last step.
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