SAT math

True or False: The least common denominator of each denominator in the following rational expression is -2(x-3)(x-1)
: 8 / x^2-4x+3 = 1 / 3-x + 1 / 2
FALSE?

True or False: The least common denominator of each denominator in the following rational expression is -2(x-1)
:
8 / x^2-4x+3 = 1 / 3-x + 1 / 2
FALSE?

asked by mysterychicken
  1. Since x^2-4x+3 = (x-3)(x-1)
    and (3-x) is just -(x-3)
    The LCD is 2(x-3)(x-1)
    So, TRUE
    Dunno why they included the "-" in the denominator, but it works with or without it.

    Similarly, FALSE for the 2nd

    The wording is poor. You can't have an LCD for "each" denominator. It takes more than one to have a "common" denominator.

    posted by Steve

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