he greatest common factor of 7x^4y^2 - 12x^3y^3 is the greatest number that can divided both terms of the expression
The greatest common factor of 7x^4y^2 - 12x^3y^3 is x^3y^2
The expression is given as:
7x^4y^2 - 12x^3y^3
Factor out x^3
x^3(7xy^2 - 12y^3)
Factor out y^2
x^3y^2(7x - 12y)
The first factor of the expression represents the greatest common factor of 7x^4y^2 - 12x^3y^3
Hence, the greatest common factor of 7x^4y^2 - 12x^3y^3 is x^3y^2
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