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factor-ratsimp

ratsimp( (((K+e)/2) -...

factor( K^2 + 2*(e -...

ratsimp((K+e-t)^2);

Calculate

factor-inf-makelist-numer-powerdisp-simpsum-sum-true

powerdisp:true;

sum(1/(k^s), k, 1, 10);

makelist(sum(1/(k^s),...

Calculate

factor

b:29;

a:(b^2-1)/4;

r:1;

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factor

H(s) := 1 / ((s+1)*(s...

factor(H(c*(1-z)/(1+z...

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factor

factor(1/(x+1)+1/(x-1...

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factor

f(x):=x^2+7*x+12;

factor(f(x));

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factor

factor(377);

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factor

factor(1-3*x);

factor(1+3*x);

Calculate

factor

factor(((2^10)-1));

(2^10)-1;

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factor

factor(8675309);

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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
eq1:Kp*(1+1/(Ti*s)+Td*s);
                                  1
(%o1)                        Kp (---- + s Td + 1)
                                 s Ti
(%i2) eq2:s = 2/T *((z-1)/(z+1));
                                     2 (z - 1)
(%o2)                            s = ---------
                                     (z + 1) T
(%i3) eq3:factor(subst(eq2,eq1));
            2  2        2    2         2                       2
(%o3) (Kp (z  T  + 2 z T  + T  + 2 Ti z  T - 2 Ti T + 4 Td Ti z  - 8 Td Ti z
                                           + 4 Td Ti))/(2 Ti (z - 1) (z + 1) T)
(%i4) num(eq3);
           2  2        2    2         2                       2
(%o4) Kp (z  T  + 2 z T  + T  + 2 Ti z  T - 2 Ti T + 4 Td Ti z  - 8 Td Ti z
                                                                     + 4 Td Ti)
(%i5) denom(eq3);
(%o5)                       2 Ti (z - 1) (z + 1) T
(%i6) 

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