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ratsimp

ratsimp(z^-2 * (1/3)^...

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ratsimp

ratsimp((2*x^2+1/3-(3...

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ratsimp-sqrt

norm(x):=sqrt(x.x);

v1:[2,-1,0];

v2:[1,0,-1];

Calculate

ratsimp

A: -1-a*x0;

B: a*x0^2;

C: -a;

Calculate

ratsimp

f: x^4+ 4*X^3- 17*x^2...

g:x^2- 5*x+ 3;

(f*g);

Calculate

ratsimp

ratsimp((2*x-1)/x-1-1...

Calculate

ratsimp-sqrt

m:3/2;

Ax:0;

Ay:0;

Calculate

ratsimp

Ca:(Cao*(1-Xa));

Cb: ((2/3)*Cao*Xa)/(1...

ratsimp(Xa/((k/3)*Ca^...

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ratsimp

f(x):=x/(1-x-x^2);

ratsimp(f(f(x)));

Calculate

ratsimp

ratsimp(x(x-1)-(3+x^2...

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ratsimp

Run Example
(%i1)y:sqrt(506.25-756.25*sin(a)*sin(a));
                                                 2
(%o1)                    sqrt(506.25 - 756.25 sin (a))
(%i2) a:0;
(%o2)                                  0
(%i3) ratsimp(y);

rat: replaced 506.25 by 2025/4 = 506.25

rat: replaced -756.25 by -3025/4 = -756.25
                                               2
                           sqrt(2025 - 3025 sin (a))
(%o3)                      -------------------------
                                       2
(%i4) 
Run Example
diff(f(x)=x^2,x);
                                d
(%o1)                           -- (f(x)) = 2 x
                                dx
(%i2) ratsimp(diff(f(d)=(((1-d)/r)^4)*((4*d)/(r+1)),d));
                                 4       3       2
                 d           20 d  - 64 d  + 72 d  - 32 d + 4
(%o2)            -- (f(d)) = --------------------------------
                 dd                       5    4
                                         r  + r
(%i3) 
Run Example
ratsimp(x*(4*x^2+9*x-1)/6-x*(x+1)*(2*x+1)/3-x*(x+1)/2);
(%o1)                                 - x
(%i2) nusum((2*k-1)*(k+1),k,1,n);
                                    2
                              n (4 n  + 9 n - 1)
(%o2)                         ------------------
                                      6
(%i3) sum(2*k^2+k-1,k,1,n);
                              n
                             ====
                             \         2
(%o3)                         >    (2 k  + k - 1)
                             /
                             ====
                             k = 1
(%i4) 
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