Could someone help me with the following algebraic fraction:

$\displaystyle

\frac {(a-b)(a^2+b^2)-a+b}{(a^3b^3)-(a^2-ab+b^2)+1}

$

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- Jul 19th 2009, 07:07 PMnghiemvery complicated algebra
Could someone help me with the following algebraic fraction:

$\displaystyle

\frac {(a-b)(a^2+b^2)-a+b}{(a^3b^3)-(a^2-ab+b^2)+1}

$ - Jul 25th 2009, 07:59 AMlancekam
I think you have a typo somewhere because the denominator does not factor. The numerator factors to be

$\displaystyle (a-b)(a^2+b^2-1)$

So if there is no typo, then the rational function does not simplify any.