Answer:
The student's work is incorrect because the student didn't distribute all through with -6.
Step-by-step explanation:
Let us expand the given expression to see whether the student made a mistake or not, and where the mistake was made, if there was any.
[tex] -6(4x - \frac{2}{13}) [/tex]
To expand, distribute -6
[tex] -6(4x) - 6(-\frac{2}{13}) [/tex] (check the work of the student at this step. This is where the student made a mistake. The student used +6 to multiply the 2nd term in the bracket instead of -6)
[tex] -24x + \frac{12}{13}) [/tex] (negative multiply by negative equals positive).
The work of the student is incorrect because the student didn't distribute -6 all through. The student used -6 for the first term, and also used +6 for the second term in the parentheses.
