factor the polynomial completely:
2xy-3y-40x+60
2xy-40x-3y+60
2x(y-20)-3(y-20)
(2x-3)(y-20)
4yx-20(3yx=6+4)-24(8-3)4+6-2square(2x-20)+y-3=10-43
X= -4.4-6
The polynomial can be factored completely as (2x-3)(y-20).
To factor the polynomial 2xy - 3y - 40x + 60 completely, we can group terms that have common factors and then factor them out.
First, we can group the terms with the variables x and y together:
(2xy - 40x) - (3y - 60)
Next, we can factor out the greatest common factor from each of these groupings. The greatest common factor of 2xy and 40x is 2x, and the greatest common factor of 3y and 60 is 3:
2x(y - 20) - 3(y - 20)
Now, we can see that we have a common factor of (y - 20) in both terms. We can factor it out:
(y - 20)(2x - 3)
Therefore, the polynomial 2xy - 3y - 40x + 60 can be factored completely as (y - 20)(2x - 3).