My question is what to do if there is a random variable in the middle number/variable in a trinomial when factoring the trinomial using reverse FOIL. The problem itself was n^2-26mn+25n^2. When I factored it using the outer numbers/variables, I ended up getting (n-25n)(n-n), and when I redistribute everything, it becomes n2-26n^2+25n^2, and the middle number/variable should be -26mn. How do I get the m and get rid of the extra n?
I'm curious to know if there is a nice solution here, please report back if nobody answers and if you get such an answer from your teacher/book. I might just be blind.