Algebra
posted by Alex on .
Could someone help me with this question
Simplify the rational expression.
(3x^2y+9xy^212y^3)/(36x^3y27x^2y^29xy^3)

Factor the numerator and denominator:
3y(x^2 + 3xy  4y^2)/9xy(4x^23xyy^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).