Good Evening,
I am working on factoring the difference of two squares example: 12b^2-300 and understand that the 12 breaks up into (3b ) (4b ) or which ever numbers it breaks into but I am spending so much time figuring out which numbers go in the parenthesis to make the equation fit back to the original. Does anyone know a quick and easy trick to find the factors that will go back to the original equation?
Thanks in advance.
I am working on factoring the difference of two squares example: 12b^2-300 and understand that the 12 breaks up into (3b ) (4b ) or which ever numbers it breaks into but I am spending so much time figuring out which numbers go in the parenthesis to make the equation fit back to the original. Does anyone know a quick and easy trick to find the factors that will go back to the original equation?
Thanks in advance.
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12b^2-300
Factor out 12:
12(b^2-25)
Factor the difference-of-two-squares:
12(b+5)(b-5)
Factor out 12:
12(b^2-25)
Factor the difference-of-two-squares:
12(b+5)(b-5)
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That comes with practice. You may use the process stated above.