SOLUTION: Factor the polynomial Please. Thanks! 36m^2-25

Factor the polynomial Please.  Thanks!



36m^2-25



Notice that 36x^2 and 25 are perfect squares.



     6x * itself or 6x * 6x = 36x^2 right?

     5 * itself or 5 * 5    = 25 right?



then the operation involves subtraction



So this is a special case : Difference of two squares.



   x^2 - y^2 = (x - y) (x + y)





using 36x^2 - 25 = (6x - 5)(6x + 5)





Checking:



  (6x - 5)(6x + 5) = 6x(6x) + 6x(5) + 6x(-5) + (5)(-5)

                   = 36x^2 + 30x - 30x - 25

                   = 3x^2 - 25   --->> true





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