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The Maxima on-line user's manual

Algebra Calculator

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Factorsum Calculator

Factorsum

Function: factorsum (<expr>) Tries to group terms in factors of <expr> which are sums into groups of terms such that their sum is factorable. factorsum can recover the result of expand ((x + y)^2 + (z + w)^2) but it cant recover expand ((x + 1)^2 + (x + y)^2) because the terms have variables in common.

S1 : sum( k , k , 1 , n) , simpsum;
factorsum(S1);
S2 : sum( ( 1 / 2 ) * k * ( k + 1 ) , k , 1 , n) , simpsum;
factorsum(S2);

Example:

          (%i1) expand ((x + 1)*((u + v)^2 + a*(w + z)^2));
                     2      2                            2      2
          (%o1) a x z  + a z  + 2 a w x z + 2 a w z + a w  x + v  x

2 2 2 2 + 2 u v x + u x + a w + v + 2 u v + u

          (%i2) factorsum (%);
                                             2          2
          (%o2)            (x + 1) (a (z + w)  + (v + u) )

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

(%o1)                                true
(%i2) 

Factorsum Example

Related Examples

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f1(x) := 1 - (x-p0)/e;

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factorsum-simpsum-sum

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factorsum(S1);

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factorsum(x^2+x+10);

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factorsum-simpsum-sum

S1 : sum( k , k , 1 ,...

factorsum(S1);

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factorsum-rhs-solve-string

f1(x) := 1 - (x-p0)/e;

y1: (2 * kp - 1)/kp;

x1 = p0 + e (1-y1);

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factorsum-rhs-solve-string

f1(x) := 1 - (x-p0)/e;

y1: (2 * kp - 1)/kp;

x1 = p0 + e (1-y1);

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factorsum (x^2 + 4*x ...

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