SOLUTION: Hi, how can I simplify {{{ z=(4x-4x^2/y)(1-2x/y+2x^2/y^2) }}} even more than this? I already have: {{{ z=4x-12x^2/y+16x^3/y^2-8x^4/y^3 }}} I know that is right, but the solver on

Algebra ->  Equations -> SOLUTION: Hi, how can I simplify {{{ z=(4x-4x^2/y)(1-2x/y+2x^2/y^2) }}} even more than this? I already have: {{{ z=4x-12x^2/y+16x^3/y^2-8x^4/y^3 }}} I know that is right, but the solver on       Log On


   

Question 422931: Hi, how can I simplify +z=%284x-4x%5E2%2Fy%29%281-2x%2Fy%2B2x%5E2%2Fy%5E2%29+ even more than this? I already have: +z=4x-12x%5E2%2Fy%2B16x%5E3%2Fy%5E2-8x%5E4%2Fy%5E3+
I know that is right, but the solver on this website does not come up with that, and and my teacher says it can be simplified even more..
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Well, you can multiply every term by the LCD y%5E3 to get


zy%5E3=4xy%5E3-12x%5E2y%5E2%2B16x%5E3y-8x%5E4


and then you can isolate z by dividing both sides by y%5E3 to get


z=%284xy%5E3-12x%5E2y%5E2%2B16x%5E3y-8x%5E4%29%2F%28y%5E3%29


If you need more help, email me at jim_thompson5910@hotmail.com

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Jim