Which of the following is a factored form of 3x^3y^3 + 3xy?
A. 3xy(x^2y^2 + 1)
C. (3x + 3y)(3x + 3y)
E. 3x(x^2y^2 + 3)
The correct answer is A.
This problem requires you to find the Greatest Common Factor. The Greatest Common Factor is 3xy, because each term has at least 1 factor of 3, 1 factor of x, and 1 factor of y. When you factor 3xy out of 3x^3y^3 you are left with x^2 y^2 , and when you factor 3xy out of 3xy, you are left with 1. Therefore, when factored, 3x^3 y^3 + 3xy = 3xy(x^2 y^2 + 1).
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