QuestionAugust 27, 2025

The greatest common factor of each term in the expression 60ab -72b is 12b. Which choice shows the expression written as a product? 12b(5ab-6b) 12b(5a-6) 12b(48a-60) 12b(48ab-60b)

The greatest common factor of each term in the expression 60ab -72b is 12b. Which choice shows the expression written as a product? 12b(5ab-6b) 12b(5a-6) 12b(48a-60) 12b(48ab-60b)
The greatest common factor of each term in the expression 60ab -72b is 12b. Which choice shows the expression
written as a product?
12b(5ab-6b)
12b(5a-6)
12b(48a-60)
12b(48ab-60b)

Solution
4.5(328 votes)

Answer

12b(5a-6) Explanation 1. Factor out the greatest common factor The greatest common factor of 60ab and -72b is 12b. Divide each term by 12b. 2. Simplify each term 60ab \div 12b = 5a and -72b \div 12b = -6.

Explanation

1. Factor out the greatest common factor<br /> The greatest common factor of $60ab$ and $-72b$ is $12b$. Divide each term by $12b$.<br />2. Simplify each term<br /> $60ab \div 12b = 5a$ and $-72b \div 12b = -6$.
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