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combine-cos-diff-lhs-rhs-sin-solve

xeqn: x(t)= r(t)*sin(...

yeqn: y(t)=r(t)*cos(t...

xdot: diff(xeqn, t, 1);

Calculate

combine-sqrt

expr:1/[1+sqrt(10)+sq...

combine(expr);

Calculate

combine-expand

eq1:1/(1+z^-1);

eq2:1/(1+eq1);

combine(eq2);

Calculate

combine-display2d-false-ratsimp

display2d:false;

e: a0*(Z - X*k/m)^2 +...

ratsimp(e);

Calculate

combine

eq1: 1/(a+b*c)+1/(b+a...

combine( eq1);

Calculate

combine-diff-display2d-false-first-second-solve-third

display2d:false;

Q(t):=a + b*t + c*t*t;

I(t):=''(diff(Q(t), t));

Calculate

combine

(ax*nx+ay*ny)**2-(ax*...

combine(%);

Calculate

combine

eq1:x*y + x;

combine(eq1);

Calculate

combine

combine(5,1);

Calculate

combine-display2d-expand-false

display2d:false;

e:+x0^4*(y1-y2)+x0*x1...

e1:-(x1*(-x0^4*y2+x2^...

Calculate

combine

Run Example
(%i1)a: -3/10 + sqrt(141)/30;
                                sqrt(141)   3
(%o1)                           --------- - --
                                   30       10
(%i2) c: combine(a);
                                 sqrt(141) - 9
(%o2)                            -------------
                                      30
(%i3) b: (-9+sqrt(141))/30;
                                 sqrt(141) - 9
(%o3)                            -------------
                                      30
(%i4) d: combine(b);
                                 sqrt(141) - 9
(%o4)                            -------------
                                      30
(%i5) is (a = b);
(%o5)                                false
(%i6) (-9 - sqrt(141))/30;
                                - sqrt(141) - 9
(%o6)                           ---------------
                                      30
(%i7) 
Run Example
numerador:(a^x-a*b^(n-1)-a^(x-1)*b+b^n);
                          x    n      n - 1    x - 1
(%o1)                    a  + b  - a b      - a      b
(%i2) denominador:a-b;
(%o2)                                a - b
(%i3) factor(numerador);
                                        x        n
                              (b - a) (a  b - a b )
(%o3)                       - ---------------------
                                       a b
(%i4) %/denominador;
                  (%o4)             ------------------------------------------
                                    a - b
factor(%);
combine(numerador/denominador);
(%o5)             (%i6) 
Run Example
u:q*(a+b)+1/x;
                                 1
(%o1)                            - + (b + a) q
                                 x
(%i2) combine(u);
                                 1
(%o2)                            - + (b + a) q
                                 x
(%i3) 

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