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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

Respuesta :

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.

The student made an error by expressing the product of two negative signs as a negative sign instead of a positive sign to have a correct expression of  -24x + 12/12

Expressions are functions having more than one term.

Given the expression expanded by a student as   −6 ( 4x − 2/ 13 )

Expanding using the distributive theorem;

= −6 ( 4x − 2/ 13 )

= -6(4x) -6(-2/13)

= -24x + 6(2/13)

= -24x + 12/12

The student made an error by expressing the product of two negative signs as a negative sign instead of a positive sign to have a correct expression of  -24x + 12/12

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