Respuesta :

the greatest common factor of 9, 18 and 21 is 3 so that is the number that we'll factor out

to do this divide all three numbers by 3 to get

3(3a-6b+7c)

I hope I've helped!

Answer:

[tex]3(3a-6b+7c)[/tex]

Step-by-step explanation:

We are asked to factor out GCF of expression [tex]9a-18b+21c[/tex] using distributive property.

We can see that greatest common factor of each term of our given expression is 3.

[tex]3\cdot 3a-3\cdot 6b+3\cdot 7c[/tex]

Using distributive property [tex]a(b+c)=ab+ac[/tex], we will factor out 3 from our expression as:

[tex]3(3a-6b+7c)[/tex]

Therefore, our required expression would be [tex]3(3a-6b+7c)[/tex].

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