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Question
Find the greatest common factor of the terms in each of the following expression:
2xyz + 3x2y + 4y2
Solution
The expression has three monomials: 2xyz, 3x2y and 4y2.
The numerical coefficients of the given monomials are 2, 3 and 4. The greatest common factor of 2, 3 and 4 is 1.
The common literal appearing in the three monomials is y.
The smallest power of y in the three monomials is 1.
The monomial of common literals with the smallest powers is y.
Hence, the greatest common factor is y.
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