factor 2x3y2+12xydivided by 2xy
Divide 2xy into each term, term by term.
xy+6
To divide the expression 2x^3y^2 + 12xy by 2xy, we need to divide each term of the expression by 2xy separately.
First, let's divide the first term, 2x^3y^2, by 2xy:
(2x^3y^2) / (2xy) = (2/2) * (x^3/x) * (y^2/y)
Simplifying this, we get:
(1) * (x^2) * (y)
Which is equal to x^2y.
Now, let's divide the second term, 12xy, by 2xy:
(12xy) / (2xy) = (12/2) * (x/x) * (y/y)
Simplifying this, we get:
(6) * (1) * (1)
Which is equal to 6.
So, the result of dividing 2x^3y^2 + 12xy by 2xy is xy + 6.