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What is the greatest common factor of 20x 6y + 40x 4 y 2 - 10x 5 y 5?

What is the greatest common factor of 20x 6y + 40x 4 y 2 - 10x 5 y 5?-example-1
User Ronathan
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1 Answer

26 votes
26 votes

10x^4y

1) We can start with the coefficients separately, so let's find the GCF of 20,40, and 10. We'll divide all of these numbers by prime numbers. But we can only divide them if we can divide them simultaneously.

So the Greatest Common Factor of those coefficients is 10

2) Examining the variables we can see that the least x term is:


x^4

And the least y term is:


y

3) Therefore we can write out the GCF as:


10x^4y

With the GCF we can rewrite that expression as a product.

And that's the answer

What is the greatest common factor of 20x 6y + 40x 4 y 2 - 10x 5 y 5?-example-1
User Abhishek Nayak
by
2.7k points