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Four students were asked to write an expression that 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

Sagot :

Answer:

Peyton in the correct option

Step-by-step explanation:

The correct expression is given by Peyton.

What is expression?

An expression is a sentence with a minimum of two numbers or variables and at least one math operation.

Consider if m is any integer, then

gcd (a + m⋅ b, b) = gcd (a, b).

If m is a positive divisor, then

gcd (a/m, b/m) = gcd (a, b)/m.

So, if x and y are prime, then

gcd(x*y, b) = gcd(x, b) *  gcd(y, b).

First, find the greatest common factor of the given terms.

The greatest common factor or GCF is the largest factor that all terms have in common.

Then, Factor out the greatest common factor from each term.

Learn more about this expression here:

https://brainly.com/question/14083225

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