Can anyone help me with this? Simplify: http://miniurl.org/oY7 Answer: http://miniurl.org/tzG I have the answer but I need to know how to do it step by step basically.
what is it?
?
I got a different answer when I do it compared to the actual answer but its very close and I've checked the math so I must still be doing something wrong, I got...\[\frac{-x-y+z}{x-y+z}\]
Its an irrational equation that I'm trying to simplify. Here is the link again... http://miniurl.org/oY7
eh, math456, you good with this?
What is math456?
\[\frac{(x-y)^2-z^2}{(x+y)^2-z^2}\cdot\frac{x+y-z}{x-y+z}\]Use "differesnce of two squares to get:\[\frac{(x-y+z)(x-y-z)}{(x+y-z)(x+y+z)}\cdot \frac{x+y-z}{x-y+z}\]
Hmm thats what I did, then I got:\[\frac{x^2-xy-xz-xy+y^2+yz+xz-yz-z^2}{x^2+xy-xz+xy+y^2-yz+xz+yz-z^2}\]Cancle, add like terms:\[\frac{-2xy}{2xy}*\frac{x+y-z}{x-y+z}\]Multiple out:\[\frac{-2x^2y-2xy^2+2xyz}{2x^2y-2xy^2+2xyz}\]Then I factored out 2xy:\[\frac{2xy(-x-y+z)}{2xy(x-y+z)}\]Finally cancle the 2xy:\[\frac{-x-y+z}{x-y+z}\] What did I do wrong? The answer is supposed to be:\[\frac{x-y-z}{x+y+z}\]
Once you factor, you dont want to multiply it out again. If there is anything in the numerator that is the same as the denominator, you can cancel it out.
I'm not sure I follow. Once I used difference of two squares I didn't multiply the denominator fraction with it if thats what your referring to? I simplified a little then multiplied it in because it was really long for this equation maker.
\[\frac{(x-y-z)[(x-y+z)]}{[(x+y-z)](x+y+z)}\cdot \frac{[x+y-z]}{[x-y+x]}\]What I put in brackets cancels out.
Wow, I must be blind. I always think to much into this stuff. Thanks for clearing that up!
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