Given:
3x4y3 − 15x2y2 + 6xy.
We are asked to factor out completely
3x4y3 − 15x2y2 + 6xy.
Let's get a factor from all the numbers
3 divide by 3 = 1
15 divide by 3 = 5
6 divide by 3 = 2
So lets factor out 3xy
3xy (x³y² - 5xy + 2)
To completely factor the expression 3x4y3 − 15x2y2 + 6xy is:
3xy(x³y² - 5xy + 2)