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11 votes
11 votes
Four students were asked to write an expression which has terms that have a greatest common factor of ab. The expressions provided by the students are shown below.

Michelle
16 a + 3 b

Naomi
18 a b c minus 13 a b c

Olivia
20 a b minus 14 a b c

Peyton
15 a b c + 14 a b

Which student wrote the correct expression?
Michelle
Naomi
Olivia
Peyton

User Feathercrown
by
2.5k points

2 Answers

21 votes
21 votes

Answer:

peyton is correct because she is the only one with ab even in her awnser

Explanation:

User Tanita
by
2.9k points
24 votes
24 votes

Answer:

D.) Peyton

Explanation:

If m is any integer, then gcd(a + m⋅b, b) = gcd(a, b). If m is a positive common divisor of a and b, then gcd(a/m, b/m) = gcd(a, b)/m. The GCD is a multiplicative function in the following sense: if a1 and a2 are relatively prime, then gcd(a1⋅a2, b) = gcd(a1, b)⋅gcd(a2, b). Factoring out the GCF is the first step in many factoring problems. Step 1: Determine the greatest common factor of the given terms. The greatest common factor or GCF is the largest factor that all terms have in common. Step 2: Factor out (or divide out) the greatest common factor from each term.

User Maxandron
by
3.4k points
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