Posted by Alex on Sunday, September 26, 2010 at 7:44pm.
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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