Im having trouble with this problem in particular involving a complex trinomial
6x^2y^3 - 18x^3y^2 + 21x^2y
i know i need to divide them all by 3x^2y but what are my steps after that?
$\displaystyle \frac{6x^2y^3-18x^3y^2+21x^2y}{3x^2y}=\frac{(3)(2)x^2(y)y^2-3(6)(x)x^2(y)(y)+3(7)x^2y}{3x^2y}$
Notice the way that I have re-written this, each term in the neumerator has a 3, a $\displaystyle x^2$, and a y, in common. If we factor these out of the top we end up with...
$\displaystyle \frac{ 3x^2y (2y^2-6xy+7) }{3x^2y}$
Then the $\displaystyle 3x^2y$ on the top and bottom divides out and we end up with...
$\displaystyle 2y^2-6xy+7$