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March 30, 2017

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Lowest common denominator of denominators (3x^4)-27x^2 and (x^3)-3x^2

  • Algebra LCD - ,

    First, fully factor both.

    (3x^4)-27x^2 = 3x^2(x^2 - 9)
    = 3x^2*(x+3)(x-3)

    (x^3)-3x^2 = x^2(x-3)

    The LCD is 3x^2*(x-3)(x+3).

    It is the product of all factors appearing in both expressions. Factors that appear in both only appear once in the LCD.

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