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#### Search: #### 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. 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) ```

### Related Examples

##### factorsum

factorsum(x^3+x^2-6*x...

Calculate

##### factorsum

factorsum(3/(x+y)^2 -...

Calculate

##### factorsum-first-kill-solve

kill(all);

nodev1: 0 = g*(v0 - k...

nodev2: 0 = g*(v1 - 0...

Calculate

##### factorsum-solve

factorsum(solve(vg/vb...

Calculate

##### factorsum

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

Calculate

##### factorsum-simpsum-sum

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

factorsum(S1);

S2 : sum( ( 1 / 2 ) *...

Calculate

##### factorsum-gfactorsum

gfactorsum (x^4 - 1);

Calculate

##### factorsum-numer-sum

S : sum(x^k/(k*k!), k...

factorsum(S), numer;

Calculate

##### factorsum-sqrt

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

factorsum(expr);

Calculate

##### factorsum

factorsum(x^2+x+10);

Calculate 