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Tawanna is asked to find the GCF of each term in the expression 2ab+8b Her work is shown below.

Factors of 2ab: 1, 2, a, and b
Factors of 8b: 1, 2, 4, 8, and b
GCF: (1)(1)(2)(2)(b)(b)

Which best describes the error in Tawanna’s solution?

Tawanna factored one or both pieces of the expression incorrectly.

Tawanna did not include each factor in the GCF.

Tawanna should have used each common factor once.

Tawanna should have used each common factor once.

Respuesta :

Tawanna should have used each common factor once.
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Answer:

           

Step-by-step explanation:

It is given that Tawanna is asked to find the GCF of each term in the expression 2ab+8b.

Firstly she should find the factors of each term in the expression as :

2ab=1,2,a and b

8b=1,2,4,8 and b

Now, GCF is the greatest common factor, since the GCF of the above terms is 1,2 and b, thus she should use each common factor once.

She wrote the common factors twice which is the error in her solution, thus she should use each common factor once.

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