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factor

Run Example
(%i1)factor(determinant(hessian(x*x/(v*(c-w*v)^a),[w,v])));
                                                      4
                       2 a (a + 1) (a v w + v w - c) x
(%o1)                  --------------------------------
                           2          2 a          3
                          v  (c - v w)    (v w - c)
(%i2) 
Run Example
eq1:x^2+2*x+1=0;
                                2
(%o1)                          x  + 2 x + 1 = 0
(%i2) factor(eq1);
                                        2
(%o2)                            (x + 1)  = 0
(%i3) 
Run Example
pol:(x^4+x^3-4*x^2-4*x)/(x^4+x^3-x^2-x);
                              4    3      2
                             x  + x  - 4 x  - 4 x
(%o1)                        --------------------
                                4    3    2
                               x  + x  - x  - x
(%i2) expand(factor(pol));
                                   2
                                  x        4
(%o2)                           ------ - ------
                                 2        2
                                x  - 1   x  - 1
(%i3) 

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