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There are three monomials such that the greatest common factor of the first and second monomials is 2xy, and the greatest common factor of the second and third monomials is 2x²y.
The greatest common factor of the three monomials is ?
The greatest common factor of the three monomial is 2xy.
What is the greatest common factor?
The greatest common factor is the highest number which is the factor of all the numbers we have taken.
We have,
The greatest common factor of the first and second monomials = 2xy
And,
The greatest common factor of the second and third monomials = 2x2y
So,
First, find factors of both greatest common factors;
2xy = 2 × x × y
2x²y = 2 × x × x ×y
So,
From the above factors we can find the greatest common factor of both,
So, we can see that, 2 × x × y is common in both,
NOw,
That means 2xy is the greatest common factor of the three monomials.
Therefore, the greatest common factor of the three monomial is 2xy.
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