SOLUTION: Factorise completely: 16m^2+15n-40m-6mn

Question 745033: Factorise completely: 16m^2+15n-40m-6mn
Found 2 solutions by lenny460, KMST:
Answer by lenny460(1073) (Show Source): You can put this solution on YOUR website!
Factorize completely: 16m^2 + 15n - 40m - 6mn

The above expression is prime. It cannot be factored.

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
DISCLAIMER
There may be a procedure that you were supposedly taught, but I would not know about it.

If is to be the product of two factors,
both factor must include a term on (so we could get terms with and a term with too),
and just one factor must include a term in (so we could get twems in , but no term in ).
Let's try .
-->
For the expressions on the left and the right to be equivalent, all four coefficients must match:

and

The way I would look for answers would be setting up a tic-tac-toe grid:
My first guesses as common factors for each column are and .
--> but
--> does not agree
However, If I change my guess to , I get and solutions that agree with the ones from :
-->
So the solution is or

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