Question 74121
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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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