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Reduce each rational expression to lowest terms:

3x^2-12y^2 over x^2+4xy+4y^2

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Jonathon

  1. (3x^2 - 12y^2) / (x^2 + 4xy + 4y^2),
    3(x^2 - 4y^2) / (x + 2y) (x + 2y),
    3(x + 2y) (x - 2y) / (x + 2y)(x - 2y),
    Cancel two (x + 2y) factors and get:

    3(x - 2y) / (x + 2y).

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    Henry

  2. CORRECTION: The denominator of the 3rd expression should be (x + 2y) (x + 2y).

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    Henry

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