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Posted by on Monday, March 19, 2012 at 8:54pm.

Factor
12^2-3

  • Algebra 2 - , Monday, March 19, 2012 at 10:03pm

    Factor

    12^2 - 3

    Factor out 3.

    3(4^2 - 1)

  • Algebra 2 - , Tuesday, March 20, 2012 at 10:36am

    Be sure to check your work:
    12^2-3 = 144-3 = 141
    3(4^2-1) = 3(16-1) = 3(15) = 45

    what happened?

    12^2-3 = (3*4)^2-3 = 3*4*3*4 - 3
    You can see that the 3 can't just be factored from 12^2, because that would factor out 3^2.

    So, what you get is
    3(4*3*4-1) = 3(48-1)

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