Question

Factor 16bc+8am completely

Answer 1

Find the GCF (Greatest Common Factor)

GCF = 8

Factor out the GCF (Write the GCF first and then in parentheses, divide each term by the GCF)

8(16bc/8 + 8am/8)

Simplify each term in parentheses

8(2bc + am)

Answer 2

8(2bc + am)

Explanation:

Factor out common factors from both terms. Note that each variable (the letters) are different, but that the numbers have factors.

Factors of:

16: 1, 2, 4, 8, 16

8: 1, 2, 4, 8

Note that the greatest factor is 8 in both numbers. Divide 8 from both terms

(16bc + 8am)/8 = 2bc + am

Add the factor to the front and parenthesis the leftover factors.

8(2bc + am) is your new answer.

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