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





If my solution helps,

Visit: www.freeweb.com/onlinemathclass

and Leave a comment. Thanks



 

RELATED QUESTIONS

"what is the factor form of  36m^6+12m^4+m^2"
please help me factor... (answered by MathLover1)

Factor each polynomial..how to easy way to factor... (answered by praseenakos@yahoo.com)

Please help....Factor out the greatest common factor from the expression... (answered by lynnlo)

Directions are to factor each polynomial. If the polynomial cannot be factored using... (answered by jim_thompson5910)

Factor each polynomial if not posible write prime.... (answered by Alan3354)

Factor the polynomial. 16 y 2 - 25  (answered by fractalier)

Factor the polynomial completly... (answered by jim_thompson5910)

{{{25k^2 - 36m^2}}}

Factor... (answered by stanbon)

factor completely

121k^2-36m^2

 (answered by Fombitz)