Posted by **Jenna** on Wednesday, April 25, 2012 at 2:31pm.

(6x-2y)/(x^2+xy-2y^2)-(3x+2y)/(x^2+3xy-4y^2)

- algebra -
**Steve**, Wednesday, April 25, 2012 at 4:05pm
x^2+xy-2y^2 = (x+2y)(x-y)

x^2+3xy-4y^2 = (x+4y)(x-y)

so, the LCD = (x+2y)(x+4y)(x-y) and putting it all over that LCD, the numerator then becomes

(6x-2y)(x+4y) - (3x+2y)(x+2y)

= 6x^2 +22xy - 8y^2

- 3x^2 +8xy + 4y^2

= 3x^2 + 14xy - 12y^2

so, the final fraction is

3x^2 + 14xy - 12y^2

-------------------------

(x+2y)(x+4y)(x-y)

## Answer This Question

## Related Questions

- Simultaneous equation - X+y+z=1......(1) x^2+y^2+z^2=35........(2) x^3+y^3+z^3=...
- Algebra-Please check my answers - Posted by Jessie on Monday, October 18, 2010 ...
- Algebra-Please check my answers - Posted by Jessie on Monday, October 18, 2010 ...
- Derive - Find the derivative of sin(2x + 3y)= 3xy + 5y-2. I have this so far 1) ...
- algebra 2 - (w + 2t)(w^2 - 2wt + 4t^2) (x + y)(x^2 -3xy + 2y^2) =x^3 - 3x^2y + ...
- Algebra - Are these complete? m^2 + 4mn +4n^2 = (m + 2n)(m+2n) 3x^3y^2 – 3x^2y^2...
- Math help polynomial - multiply the following polynomial -3x(y^2+2y^2) answer ...
- bobpursly, - Is this correct now after i revised it Multiply. 3xy^2(5xy-4x+6y) ...
- Math! - 1) What is the value of 19 + 5a^4 + 3b^2 when a = 2 and b = -4? (this ...
- algebra - Simplify. Do not use negative exponents in the answer. 12x-2y4 -3xy-7 ...

More Related Questions