Simplifying

**casey_k** · January 22nd 2009, 08:59 PM

I'm having trouble simplifying this equation

**Jhevon** · January 22nd 2009, 09:29 PM

Originally Posted by casey_k

I'm having trouble simplifying this equation

note that you have:

$\frac {x^2 - 4xy + 4y^2}{x^2 - y^2} \times \frac {x^2 + 2xy + y^2}{x^2 + xy - 6y^2}$

$= \frac {(x - 2y)^2}{(x + y)(x - y)} \times \frac {(x + y)^2}{x^2 + xy - 6y^2}$

can you take it from here?

**muks** · January 22nd 2009, 09:34 PM

$\frac {x^2-4xy+4y^2}{x^2-y^2}$ $/ \frac {x^2 + xy - 6y^2}{x^2+2xy+y^2}$

$= \frac {(x-2y)^2}{(x+y)(x-y)} / \frac {(x+3y)(x-2y)}{(x+y)^2}$

$=\frac {(x-2y)^2}{(x+y)(x-y)} * \frac {(x+y)^2}{(x+3y)(x-2y)}$

$= \frac {(x-2y)(x+y)}{(x-y)(x+3y)}$

$= \frac {x^2-xy-2y^2}{x^2+2xy+3y^2}$

**muks** · January 22nd 2009, 09:35 PM

Oh, Sorry, Jhevon I did not notice you had posted while I was typing the solution.

**casey_k** · January 22nd 2009, 09:42 PM

yea, i can take it from here.

thank you so much for making the problem more clearer!

**Jhevon** · January 22nd 2009, 10:10 PM

Originally Posted by muks

Oh, Sorry, Jhevon I did not notice you had posted while I was typing the solution.

don't worry about it. you did a better job than i did. i didn't factorize the $x^2 + xy - 6y^2$

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