Solution - Factoring multivariable polynomials

Step  1  :

Equation at the end of step  1  :

  ((4 • (m2)) +  5mn) -  (2•3n2)
 Step  2  :

Equation at the end of step  2  :

  (22m2 +  5mn) -  (2•3n2)

Step  3  :

Trying to factor a multi variable polynomial :

 3.1    Factoring    4m² + 5mn - 6n² 

Try to factor this multi-variable trinomial using trial and error 

 Found a factorization  :  (4m - 3n)•(m + 2n)

Final result :

  (4m - 3n) • (m + 2n)