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Musya8 [376]
3 years ago
11

student expanded an expression, as shown. Is the student's work correct? Explain why or why not. −6 ( 4x − 2 13 ) −6(4x) + 6 ( −

2 13 ) −24x − 12 13
Mathematics
2 answers:
iren2701 [21]3 years ago
5 0

Answer:No, the work is not correct. The distributive property was not used properly to expand the expression. Negative 6 should be multiplied by both terms in the parentheses. The second product should be -6 times -2/13 to get positive 12/13.

Step-by-step explanation: THAT IS THE SAMPLE RESPONSE!!! :)

sleet_krkn [62]3 years ago
4 0

Answer:

No, the student's work is not correct.

Step-by-step explanation:

Given : Student expanded an expression, as shown.

-6(4x-\frac{2}{13} )

-6(4x)+6(-\frac{2}{13} )

-24x-\frac{12}{13}

To find : Is the student's work correct?

Solution :

The expansion of student is not correct.

Follow the below steps to get correct solution and student mistake,

Step 1 - Write the expression,

-6(4x-\frac{2}{13} )

Step 2 - Apply distributive property, a(b+c)=ab+ac

=(-6)(4x)+(-6)(-\frac{2}{13})

Step 3 - Solve,

=-24x+\frac{12}{13}

The student was mistaken in step 2 in solving the sign.

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