A 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

The work is incorrect.

(-6) multiplies both terms inside parentheses. For some reason, the student changed the sign of that multiplier for the second term. The second term of the result should have a positive sign, the result of multiplying (-6) (-2/13) = + 12/13.

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.