### The Maxima on-line user's manual

Algebra Calculator

#### Factcomb

Function: factcomb (<expr>) Tries to combine the coefficients of factorials in <expr> with the factorials themselves by converting, for example, `(n + 1)*n!` into `(n + 1)!`.

`sumsplitfact` if set to `false` will cause `minfactorial` to be applied after a `factcomb`.

```(%o1)                                true
(%i2) ```

### Related Examples

##### factcomb

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

Calculate

##### factcomb-false-rat-sumsplitfact

p: (n-1)!/((k-1)!*(n-...

q: factcomb(p*(k-2)!*...

rat(q);

Calculate

##### factcomb-false-sumsplitfact

f(n,k):=n!^3/(k!*(n-k...

p: factcomb(f(n,k)-(n...

Calculate

##### factcomb-false-sumsplitfact

f(n,k):=n!^2/(k!*(n-k...

p: factcomb(f(n,k)-(n...

Calculate

##### factcomb-false-rat-sumsplitfact

p: (n+k-1)/(n-k-1)*(n...

q: factcomb(p*(k-2)!*...

rat(q);

Calculate

##### factcomb-false-rat-sumsplitfact

p: (n-1)!/((k-1)!*(n-...

q: factcomb(p*(k-2)!*...

rat(q);

Calculate

##### factcomb-minfactorial-ratsimp

solve_rec(a[n]=a[n-1]...

2*x*(x+1)*y[x] - (x^...

solve_rec(%, y[x], y...

Calculate

##### factcomb-false-sumsplitfact

p: (n-1)!/((k-1)!*(n-...

q: factcomb(p*(k-2)!*...

Calculate

##### factcomb-false-rat-sumsplitfact

f(n,k):=n!^3/k!^3*(n-...

sumsplitfact:false;

p: factcomb(rat(f(n,k...

Calculate

##### factcomb-false-sumsplitfact

p: (n-1)!/((k-1)!*(n-...

q: factcomb(p*(k-2)!*...

Calculate