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ratsimp

ratsimp(1-a+a*(1-b)-1...

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ratsimp

ratsimp((y+4)+(y+4));

Calculate

ratsimp

ukn1: matrix[[0,0], ...

ratsimp(ukn1.ukn1);

ratsimp(ukn1.ukn1.ukn1);

Calculate

ratsimp

H1(z) := F*(z^-1)/(1-...

H2(z) := H1(z)/(1+Q*H...

Hlp(z) := H2(z)*F*(1/...

Calculate

ratsimp

f : ((2/(3*x+9))+(x/(...

ratsimp(f);

t : ((1/x+1)+(1/x-1))...

Calculate

ratsimp

ratsimp(((2)/(a-2)-(2...

Calculate

ratsimp

A:x+1;

B:x^2-x+1;

C:(x^2+x+1);

Calculate

ratsimp-subst

subst([N=M+Z],N^2+(N+...

ratsimp(%);

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ratsimp

ratsimp(4*x-3*y-4);

ratsimp(2*x+y-7);

Calculate

ratsimp

ratsimp((x-2)*(x+2)+2...

Calculate

ratsimp

Run Example
(%i1)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) 
Run Example
eq1:x*4+y-2=y;
(%o1)                           y + 4 x - 2 = y
(%i2) eq2:x+2=y;
(%o2)                              x + 2 = y
(%i3) linsolve([eq1,eq2],[x,y]);
                                     1      5
(%o3)                           [x = -, y = -]
                                     2      2
(%i4)  solve([a = b*x+c*y, d=e*x+f*y], [x,y]);
                            c d - a f        b d - a e
(%o4)                 [[x = ---------, y = - ---------]]
                            c e - b f        c e - b f
(%i5) ratsimp(solve([-v1*z1 = z11*v1 + z12*v2 + z13*v3 + z13*v4, -v2*z2 = z21*v1 + z22*v2 + z23*v3 + z23*v4, -v3*z3 = z13*v1 + z23*v2 + z33*v3 + z34*v4, -z4*v4 = z13*v1+z23*v2+z34*v3+z33*v4], [z1, z2, z3, z4]));
               (v4 + v3) z13 + v2 z12 + v1 z11
(%o5) [[z1 = - -------------------------------, 
                             v1
       (v4 + v3) z23 + v2 z22 + v1 z21
z2 = - -------------------------------, 
                     v2
       v4 z34 + v3 z33 + v2 z23 + v1 z13
z3 = - ---------------------------------, 
                      v3
       v3 z34 + v4 z33 + v2 z23 + v1 z13
z4 = - ---------------------------------]]
                      v4
(%i6) eq1:0=(zc/%i)*(v1/a+v2/b)+h*i/(%i*w);
                                  v2   v1       %i h i
(%o6)                   0 = - %i (-- + --) zc - ------
                                  b    a          w
(%i7) eq2:0=(zc/%i)*(v1/b+v2/a)+h*i/(%i*w);
                                  v2   v1       %i h i
(%o7)                   0 = - %i (-- + --) zc - ------
                                  a    b          w
(%i8) eq3:u=(h/(%i*w))*(v1+v2)+i*t/(%i*w*eps*a);
                              %i h (v2 + v1)   %i i t
(%o8)                   u = - -------------- - -------
                                    w          a eps w
(%i9) ratsimp(solve([eq1,eq2,eq3], [i, v1, v2]));
                              2         2
                      (a b + a ) eps u w  zc
(%o9) [[i = - ---------------------------------------, 
                                           2        2
              (%i b + %i a) t w zc - 2 %i a  b eps h
                  2
                 a  b eps h u w
v1 = ---------------------------------------, 
                                  2        2
     (%i b + %i a) t w zc - 2 %i a  b eps h
                  2
                 a  b eps h u w
v2 = ---------------------------------------]]
                                  2        2
     (%i b + %i a) t w zc - 2 %i a  b eps h
(%i10) 
[abs,carg,float,invert,matrix,polarform,ratsimp,rectform] [abs,define,float,matrix,plot2d,ratsimp,transpose] [abs,do,if,is,length,map,ratsimp,realroots,solve] [assume,diff,factor,integrate,log,ratsimp] [assume,integrate,log,ratsimp] [block,length,ratsimp,sum,tab] [coeff,expand,factor,ratsimp,resultant,solve,sqrt,subst] [coeff,factor,if,product,ratsimp,sum] [cos,cot,diff,expand,ratsimp,sin,sqrt,subst,trigexpand,trigreduce] [cos,diff,ev,ratsimp,sin] [cos,diff,integrate,pi,ratsimp,sin] [cos,diff,ratsimp,sin] [cos,diff,ratsimp] [cos,ratsimp,sin] [create_list,ratsimp] [denom,factor,num,ratsimp,subst] [determinant,matrix,ratsimp] [diff,display2d,false,ratsimp,subst] [diff,exp,ratsimp] [diff,expand,part,ratsimp,solve,subst] [diff,false,ic1,ode2,plot2d,ratprint,ratsimp,rhs] [diff,ic1,ode2,ratsimp] [diff,integrate,plot2d,ratsimp] [diff,integrate,ratsimp] [diff,log,ratsimp,sqrt] [diff,log,ratsimp] [diff,plot2d,ratsimp,solve] [diff,plot2d,ratsimp] [diff,ratsimp,solve] [diff,ratsimp,sqrt] [diff,ratsimp,subst] [diff,ratsimp] [display2d,expand,false,ratsimp] [display2d,false,ratsimp,solve,subst] [display2d,false,ratsimp,solve] [display2d,false,ratsimp] [do,if,is,length,map,ratsimp,realroots,solve,subst] [eigenvalues,ev,matrix,ratsimp,solve,sqrt] [elem,ratsimp] [ev,float,ratsimp] [exp,integrate,ratsimp] [exp,ratsimp] [expand,factor,ratsimp] [expand,float,ratsimp,sqrt,subst,taylor] [expand,ratsimp,solve] [expand,ratsimp,subst] [expand,ratsimp] [factor,ratsimp] [integrate,plot2d,ratsimp,sqrt,subst] [integrate,ratsimp]

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