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25 August, 13:48

Factor the gcf - 6x^3y 9x^2y^2-11xy^3 a. 3xy (-2x^2 3xy-4y^2) b.-3xy (2x^2 3xy-4y^2) c.-3xy (2x^2-3xy 4y^2) d.-3 (2x^3y-3x^2y^2 4xy^3)

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  1. 25 August, 15:59
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    First, gather like terms.

    -6 * 9x^3x^2yy^2 - 11xy^3

    Then use Product Rule (x^ax^b = x^a+b)

    -6 * 9x^ (3+2) y^ (1+2) - 11xy^3

    Simplify that.

    -6 * 9x^5y^3-11xy^3

    Then simplify again.

    -54x^5y^3 - 11xy^3

    The Greatest Common Factor = xy^3 (if you need my to explain how I got this, just ask).

    Then factor the GCF:

    xy^3 ((54x^5y^3) / (xy^3) + (11xy^3) / (xy^3))

    Then simplify

    -xy^3 (54x^4 + 11)

    So unless I am misunderstanding this question, is there a none-of-the-above answer?
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