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The Maxima on-line user's manual

Algebra Calculator

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Combine

Function: combine (<expr>) Simplifies the sum <expr> by combining terms with the same denominator into a single term.

b(n):=integrate(sin(t+%pi/3)*sin(n*t), t,-%pi,-2*%pi/3) + integrate(sin(t-%pi/3)*sin(n*t), t,-%pi/3,0) + integrate(sin(t+%pi/3)*sin(n*t), t,0,%pi/3) + integrate(sin(t-%pi/3)*sin(n*t), t,2*%pi/3,%pi);
combine(distrib(b(1)));
b(2);
b(3);

There are also some inexact matches for combine. Try ?? combine to see them.

(%o1)                                true
(%i2) 

Related Examples

combine

S:K/(2-K);

combine((1-S)/(2*Sqrt...

combine((1-S^2));

Calculate

combine-diff-display2d-false-first-plot2d-second-solve-third
plot2d(Q(t), [t, -h1-h2, 0]);

display2d:false;

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

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

Calculate

combine-display2d-expandwrt-false

display2d:false;

x1: a2*z1^2 + b2*z1 +c2;

y1: a1*z1^2 + b1*z1 +c1;

Calculate

combine-expand-radcan

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

eq2:1/(1+eq1);

combine(eq2);

Calculate

combine-factor

b:(sy*sx-sxy*s)/(sx^2...

a:-(sxx*sy-sxy*sx)/(s...

f:syy+a^2*s+b^2*sxx-2...

Calculate

combine-ev-factor-simp

c:1*f/2*b + 2*c/3*a +...

c;

combine(c);

Calculate

combine-linsolve

eq1:x3=-1/6*J*tj3^3+(...

combine(%);

linsolve([eq1],[tj1]);

Calculate

combine-expand

a:expand((X+5)^8);

combine(8,0);

Calculate

combine-cos-sin

vr: [1-(3/2)*(R/r)+(1...

p: po - rho*g*r-(3/2)...

a: derivative(-p, r) ...

Calculate

combine-distrib-integrate-sin-sum

b(n):=integrate(sin(t...

b(1);

combine(distrib(b(1)));

Calculate