Factor polynomial-
26xy-39y-20x+30
??
y(26x-39) -10(2x-3)
13y(2x-3) - 10(2x-3)
(13y-10)(2x-3)
26xy - 39y/13y
To factor the polynomial 26xy - 39y - 20x + 30, we can start by looking for common factors among the terms.
First, let's group the terms with common factors:
(26xy - 20x) + (-39y + 30)
Now, we can factor out the common factors from each group:
2x(13y - 10) - 3(13y - 10)
Notice that we have a common binomial factor of (13y - 10) in both terms. We can now factor it out:
(2x - 3)(13y - 10)
So, the factored form of the polynomial 26xy - 39y - 20x + 30 is (2x - 3)(13y - 10).