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

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 -
**Henry**, Monday, September 27, 2010 at 4:51pm
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).

## Answer this Question

## Related Questions

- Algebra - Could someone help me with this question Simplify the rational ...
- Algebra - Simplify the rational expression. (45y-9xy)/(x^2y-25y) I got an ...
- Algebra - Simplify the rational expression. (45y-9xy)/(x^2y-25y) I got an answer...
- Algebra - Simplify the rational expression. (45y-9xy)/(x^2y-25y) I got an answer...
- maths - 2/ x^2 - 9xy^2 - 3/3x + 12y
- Algebra 1 - Simplify: 9xy/15yz
- Algebra - Rewrite the following expression with positive exponents. (9xy)^-6/7
- Math - factorize the following using. formula #1 : (x+y)^3 = x^3+3x^2y+3xy^2+y^2...
- mathematics - If 3xy^3 - 4x = 10y^2, find y ' (x) a) (4 + 3y^2)/(9xy^2 + 20y) b...
- Math/algebra - The question is 9xy --- 15x I answered 3y --- 5 is this right?