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What is the GCF of 3x3^3 - 27x?

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2 Answers

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3*3^3-27x=3*27-27x=27*(3-x)\\\\Answer:\ \boxed{GCF(3*3^3,\ 27x)=27}

User Stamatis Tiniakos
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5 votes

For this case we have that by definition, the GFC of two numbers is the largest number that is a factor of both numbers.

We have the following expression:


3*3 ^ 3 - 27x =

This can be rewritten as:


3 * 3 * 3 * 3- (3 * 3 * 3) x =\\3 * 3 ^ 3-(3 ^ 3)x =

It is observed that if we take common factor, the largest factor will be given by
3 ^ 3 = 27

Thus, the GFC of the given expression is 27

Answer:

27

User Evyatar
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