Algebra

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Could someone help me with this question


Simplify the rational expression.

(3x^2y+9xy^2-12y^3)/(36x^3y-27x^2y^2-9xy^3)

  • Algebra -

    Factor the numerator and denominator:

    3y(x^2 + 3xy - 4y^2)/9xy(4x^2-3xy-y^2),

    Factor the numerator and denominator into 2 binomials:

    3y(x - y)(x + 4y) / 9xy(x - y)(4x + y),

    Divide the numerator and denominator by 3y:

    (x - y)(x + 4y) / 3x(x - y)(4x + y),

    Cancel the 2 (x - y) factors:

    (x + 4y) / 3x(4x + y).

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